Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

arnyk wrote: 
> The lowest distortion way to build the output stage of a solid state
> power amp is a carefully biased class AB. The trick is to come up with
> the right bias as a function of current and temperature. Needless to say
> this is far from being an insurmountable problem as long as you stay
> away from pure class B or pure class A. As with many things in life, the
> optimum is a carefully chosen mean or compromise.
> 
> If you depart from the ideal too far in the direction of Class B you get
> crossover distortion which is especially bad sounding because it affects
> sound quality at all power levels.
> 
> If you depart too far from the ideal in the direction of Class A you
> have a problem with what is called gm doubling.  This is a fairly deep
> technical issue further elaborated on by Douglas Self in his various
> well-known publications related to power amp design and also
> 'Douglas-sel on SS power amps,'
> (http://douglas-self.com/ampins/dipa/dipa.htm#5) as well as 'Solid State
> amplifiers by teemu_kyttala_v1.0.pdf'
> (http://www.thatraymond.com/downloads/solidstate_guitar_amplifiers_teemu_kyttala_v1.0.pdf).
> I have personally observed and addressed this problem in my own
> unpublished power amp designs.

Hi Arny!

Thank you for your clear response.

I'm probably best off with my Class A/B Logos which at least sounds as
if it's done well, and save money by avoiding the pure Class A Inpol 2.

I suspect you've just saved me from falling for an expensive
"down-grade"!

Dave :)



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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

Julf wrote: 
> As one part of the monitoring chain, yes, but it is becoming less
> common. For near-field monitoring, studios use active monitors that have
> class D or A/B amps built in, and for listening room use class A amps
> don't have enough power for modern, power-hungry speakers.
> 
> IM distortion, just like HD, is caused by non-linearity. A badly
> designed class A/B amp can have nonlinearity caused by the (gradual)
> transfer from class A to B, and push-pull designs can have crossover
> distortion. Neither are an issue with most class D architectures.

Hi Julf!

Thought I'd reply to your second post of the day, although I found your
potted history of Bell Labs interesting as well.

My own gear consists of a Class A/B hybrid (but with the twin triode
valves used in the pre-amp stage & MOSFET's used in the power amp)Pathos
Logos amplifier driving my 2-way minimal crossover B 805S
loudspeakers. Then I have 2 B PV1 subwoofers (which each contain a
500W Class D amp) connected in true stereo from the speaker posts of the
Pathos amp which very handily has banana plug sockets built into its
massive metal clamps. None of this gear represents the respective
manufacturers' very latest takes on the subject, but I'm happy with the
sound I get in my modest room.

The Logos amplifier is biased to produce its first 30W in Class A,
before a hopefully well-implemented transfer to Class B offering 110W
into 8 ohms, or if you'd prefer 220W into 4 ohms. This simple
doubling-up does suggest that they have made a decent fist of the power
supply at least. It measures well (Pathos quoted specs: 2Hz-200kHz +/-
0.5dB; <0.05% THD (unspecified frequency/power); S/N >90dB; input
100KOhm) & doesn't sound particularly "tubey", so hopefully they've got
the triodes operating in the linear range alluded to by Arny. Pathos's
published design rationale is "valves are best for voltage
amplification, solid-state devices are best for current amplification"
which seems to an extent to chime with Arny's comments about the
linear/non-linear range of valves, although I suspect it's something of
an over-simplification for marketing acceptance. You can't really blame
them for not wanting to give all their commercial secrets away.

The Mk. 2 version apparently has some subtle improvements to the pre-amp
stages, and the option of an inboard DAC giving it 9 inputs (2 digital,
2 balanced XLR analogue & 5 unbalanced phono analogue) whereas mine only
has the latter 7. I wouldn't swap my Mk.1 since I don't need the DAC,
but I might be tempted by their 50W pure Class A hybrid Inpol 2
amplifier at the right second-hand price: 50W per channel would be quite
adequate given the size of my room, & I'd still have the 1000W of
combined Class D amplification in the subwoofers to back it up where the
main power of the frequency range for a music signal occurs. I bought my
Logos second-hand from the dealer in Oxford who had supplied it new (I
presume 4 years earlier) for 50% of the then going new price. I've used
it extensively for nearly 8 years now & it's only popped 1 valve (heater
element) in that time which also took out an internal board-mounted 1A
fuse in the pre-amp stage obviously. I was able to sort this myself
although I did have to buy a small set of hex drives since my
screwdriver set didn't have one small enough to get the lid off. Blew a
bit of dust out for good measure & fitted a matched pair of new Phillips
tubes from Watford Valves who supply mainly musicians with a penchant
for Marshall speakers with their valve amplification: again no silly
prices, think I paid about £30 a pair. Got a spare set which may need to
be used for the Digit, since the tubes are the same type. Have to
confess now that I did have them cryogenically treated, not because I
thought it would affect the sound but because it was a cheap option
which I thought -*might*- improve longevity. Anyway they're doing well
so far, & as far as I could tell (accepting Arny's point about
forgetting after 20 seconds, which may yet consume the rest of my
perception, who knows? I'm certainly not getting any younger) but could
easily have simply been down to the original Sovteks being a bit tired
if it was a genuine effect.

I must confess that despite the size & weight of the beast, I had
expected the box to be relatively empty, governed by the size of the
large heat-sinks necessary to avoid the use of noisy cooling fans.
Couldn't have been more wrong, it's full of stuff - there are pictures
on Google images you can't miss if you're at all interested. It took me
back to the practical difficulties in achieving Peter Walker's "straight
piece of wire with gain" definition of the perfect amplifier...

It nearly broke my heart that I couldn't find any of the B 805S's for
sale second-hand anywhere back in 2009, so I had to visit their
Portsmouth dealer Audio T to negotiate a new pair. Thankfully they
didn't have any in stock. The salesman enquired slightly desperately
whether I wouldn't 

Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread arnyk

darrenyeats wrote: 
> Arny, that's one thing Siegfried states.
> 

Please remember that you brought this document into this discussion to
apparently counter my comments about IM.  That you seem to feel to do
such a thing tells me that you don't understand what I'm trying to say.


> 
> Also, he rates the drivers by HD and picks them on a combination of IM
> and HD performance. Implying HD is significant and not made moot by IM.
> 

Again, it appears that you are not understanding the core of this
discussion.


> 
> I do see your point TBH, I just think you're over-egging the pudding.

You appear to be grasping at any straw to avoid  the point of my
comments. Let me throw a few more eggs at the problem: ;-)

(1) THD and IM are not forms of distortion. The forms of distortion are
linear and nonlinear distortion.  Not seeing IM or THD on that short
list, they must be absent for a reason and the reason is that they are
irrelevant to a  discussion of forms of distortion. I say so, Geddes
says so, Linkwitz says so, a ton of other recognized authorities you may
not have heard of  say so, by  gosh it could even be true! ;-)

(2) Well then, what are THD and IM if they are not forms of distortion?
They are means for characterizing or quantifying or measuring
distortion. They are means, not the ends.  Are cubic centimeters a form
of automobile engine displacement? No! Cubic centimeters  are a means
for characterizing or quantifying or measuring engine displacement.

(3) THD and IM are means for measuring nonlinear distortion, so what is
nonlinear distortion?  Nonlinear distortion is a something whose
fundamental cause is things that take in one tone and put out more than
one tone, where the additional new tone(s) have a more-or-less
consistent correlation with the input. This contrasts with noise and
interfering signals where that correlation is random. This contrasts
with frequency response and phase distortion where the same tones that
go in, come out but with their relative timings and/or sizes changed. 

(4) Can you estimate IM given THD or vice-versa?  Yes you can. The
procedure is that you estimate the underlying form of nonlinear
distortion from either THD or IM measurements or better yet from a FFT
analysis, and then simulate the other measurement based on what you find
out about the distortion mechanism at hand.  This would be more popular
except for the fact that are about an infinite combinations of number of
tones, tone frequencies, and tone amplitudes for measuring THD and IM,
and the relationship depends on which set(s)  of tones you chose to
compare.

My point is that if you have IM, you have THD and vice versa. They are
basically equally important because they are like two sides of the same
coin, and the coin is named *nonlinear distortion*.   Harmonic
distortion can possibly be euphonic or at least hard to detect because
it is often masked by the harmonics that are already naturally in the
music. IM has this nasty strong tendency to sound ugly to most people,
except possibly people who like things like Punk Rock or Heavy Metal.
Thing is, Deep Purple sounds better to me on a measurably clean system
than a dirty one. The fact that the mainstream of audio is highly
dependent on the existence of gear with vanishing or at least inaudible
distortion is a matter of historical fact. Of course like most
avocations there are many tiny niches in audio that may defy
conventional logic.



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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread arnyk

Golden Earring wrote: 
> Hi Darren!
> 
> I'm most interested to hear Arny's take on solid-state Class A with
> regard to IM. I know that most recording studios use Class A amplifiers
> in their monitoring chain.
> 
> 

The lowest distortion way to build the output stage of a solid state
power amp is a carefully biased class AB. The trick is to come up with
the right bias as a function of current and temperature. Needless to say
this is far from being an insurmountable problem as long as you stay
away from pure class B or pure class A. As with many things in life, the
optimum is a carefully chosen mean or compromise.

If you depart from the ideal too far in the direction of Class B you get
crossover distortion which is especially bad sounding because it affects
sound quality at all power levels.

If you depart too far from the ideal in the direction of Class A you
have a problem with what is called gm doubling.  This is a fairly deep
technical issue further elaborated on by Douglas Self in his various
well-known publications related to power amp design and also
'Douglas-sel on SS power amps,'
(http://douglas-self.com/ampins/dipa/dipa.htm#5) as well as 'Solid State
amplifiers by teemu_kyttala_v1.0.pdf'
(http://www.thatraymond.com/downloads/solidstate_guitar_amplifiers_teemu_kyttala_v1.0.pdf).
I have personally observed and addressed this problem in my own
unpublished power amp designs.



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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Julf

Golden Earring wrote: 
> I'm most interested to hear Arny's take on solid-state Class A with
> regard to IM. I know that most recording studios use Class A amplifiers
> in their monitoring chain.

As one part of the monitoring chain, yes, but it is becoming less
common. For near-field monitoring, studios use active monitors that have
class D or A/B amps built in, and for listening room use class A amps
don't have enough power for modern, power-hungry speakers.

IM distortion, just like HD, is caused by non-linearity. A badly
designed class A/B amp can have nonlinearity caused by the (gradual)
transfer from class A to B, and push-pull designs can have crossover
distortion. Neither are an issue with most class D architectures.



"To try to judge the real from the false will always be hard. In this
fast-growing art of 'high fidelity' the quackery will bear a solid gilt
edge that will fool many people" - Paul W Klipsch, 1953

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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Julf

Golden Earring wrote: 
> Still catching up here. I hear you about Bell Labs, they were a big
> outfit. I believe it was 2 of their engineers who inadvertently
> discovered the Cosmic Background Radiation that resulted in the general
> acceptance of the Big Bang hypothesis for the origin of the universe,
> although they were trying to eliminate what they initially perceived as
> interference with equipment they were using for a different purpose
> altogether. Part of Bell Labs remit may well have included high quality
> sound reproduction, but I should imagine that in those days the focus
> would primarily have been on cinema sound systems rather than domestic
> ones. Please correct me if I'm wrong on this. As I recall the DIY
> approach to quality home sound reproduction was much in vogue through
> the 50's & 60's with many people building their own amplifiers &
> loudspeakers based upon freely available designs. Times have changed.
> 

Bell Labs in their glory days was a great place. I have had the pleasure
and honour to visit a number of times, and to know and work with some of
the research people there - and having grown up and worked in the
technology industry in Finland, I still can't get my head around the
fact that it is now "Nokia Bell Labs". 

There were two standard jokes about Bell Labs - one was "even the
janitor has a PhD", the other, from the AT business people, "hundreds
of wonderful technologies, not a single successful product".  

One has to remember that a lot of the research at Bell Labs was basic
research, not directed at any specific product or business. So no, they
didn't focus on cinema sound - they focused on things like the science
of sound and hearing. Shannon's work was basic information theory.
Bardeen, Brattain and Shockley's work that led to the transistor was
basic semiconductor physics research. 

The original Bell Labs was split up, most of it becoming Lucent
Technologies (and retaing the Murray Hill location), but the
voice-oriented stuff (including  JJ Johnston's perceptual compression
research that led to mp3) ended up in AT Labs in Florham Park



"To try to judge the real from the false will always be hard. In this
fast-growing art of 'high fidelity' the quackery will bear a solid gilt
edge that will fool many people" - Paul W Klipsch, 1953

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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

darrenyeats wrote: 
> Army, that's one thing Siegfried states.
> 
> Also, he rates the drivers by HD and picks them on a combination of IM
> and HD performance. Implying HD is significant and not made moot by IM.
> 
> I do see your point TBH, I just think you're over-egging the pudding.

Hi Darren!

It's always difficult to make a complicated point by simplifying to the
maximum extent without oversimplifying it.

I think that Arny is doing his best to make his clearly expert
understanding accessible to us, & that both of you are raising valid
points.

IM is truly horrible & I am currently enjoying a 1st rate live recording
of The Allman Brothers Band playing the Fillmore East shortly before it
closed for good in 1971. To have my subwoofers roaring away whilst
enjoying crystal-clear percussion is immensely enjoyable: whether my
neighbours agree remains a moot point.

I'm most interested to hear Arny's take on solid-state Class A with
regard to IM. I know that most recording studios use Class A amplifiers
in their monitoring chain.

Dave :)



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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread darrenyeats

arnyk wrote: 
> That Linkwitz Lab page seems to support my claim: "The distortion
> spectrum of this test signal is very discriminating and robust. It
> contains not only harmonics, but also *the more serious intermodulation
> components, which are of higher amplitude*. "
Army, that's one thing Siegfried states.

Also, he rates the drivers by HD and picks them on a combination of IM
and HD performance. Implying HD is significant and not made moot by IM.

I do see your point TBH, I just think you're over-egging the pudding.



Check it, add to it! http://www.dr.loudness-war.info/

SB Touch

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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

arnyk wrote: 
> Bell Labs (who no longer exist)  concerned themselves with far more than
> mere telephone conversations. Given your probable age you should
> remember when about half of all movies featured "Western Electric Sound
> System" in their credits. If you are familiar with large corporate
> arrangements of the day, Western Electric was the manufacturing division
> of American Telephone and Telegraph (AT)  and their research devision
> was called "Bell Labs" IOW, high quality sound was part of their agenda.
> 
> There is a principle called extensibility or scaling. Basically, in very
> many cases high performance is obtained using the same basic principles
> as is used to achieve lower level performance, they are just logically
> extended by carrying them a little further. This is abundantly true for
> audio. If modest frequency response and distortion yields good speech
> performance, extending the relevant technology along existing clear
> paths  yields far better performance, and excellent high fidelity will
> result. This is particularly true of audio, and even more true of
> digital audio. It shows up in the development of digital audio in that
> many of the same research organizations as developed digital
> switchboards extended the same basic technology and within 10 years
> their digital hardware were producing commercial digital recordings that
> sound excellent to this day.
> 
> 
> 
> That is a pretty brave dare because if you actually do it, the resulting
> sound is actually pretty good, and it gets even better when leave a
> component that is superfluous for recording and playback namely Skype,
> out of the system. OTOH, even the sonic and visible performance of Skype
> continues to improve.
> 
> The technical performance of modern PC sound systems is in the same or
> better than best audio CDs, and in fact millions of audiophiles use
> their computers or cell phones (whose basic audio systems aside from the
> cell phone system) is comparable or better than the best audio recording
> and playback systems that were in use for the most critical professional
> work not that many years ago. In fact most technical advances beyond
> current cell phones and PC's have no scientifically demonstrable audible
> advantages.
> 
> 
> 
> What a wad of Poorly informed falsehoods!

Hi yet again Arny!

Still catching up here. I hear you about Bell Labs, they were a big
outfit. I believe it was 2 of their engineers who inadvertently
discovered the Cosmic Background Radiation that resulted in the general
acceptance of the Big Bang hypothesis for the origin of the universe,
although they were trying to eliminate what they initially perceived as
interference with equipment they were using for a different purpose
altogether. Part of Bell Labs remit may well have included high quality
sound reproduction, but I should imagine that in those days the focus
would primarily have been on cinema sound systems rather than domestic
ones. Please correct me if I'm wrong on this. As I recall the DIY
approach to quality home sound reproduction was much in vogue through
the 50's & 60's with many people building their own amplifiers &
loudspeakers based upon freely available designs. Times have changed.

The reason that I suggested using Skype was precisely because its main
design priority must have been to get acceptable results given hardware
limitations. I accept that as these hardware constraints relax, better &
better performance will be easier to achieve. You would have a similar
constriction if you interposed a telephone landline or indeed a mobile
phone call but it would be more difficult to use an external microphone
which would feed a decent signal into either of those communication
systems, which is why I suggested Skype. The only reason that I raised
this point was to reference the kind of real world applications Nyquist
in the 20's & Shannon et al in the 40's/50's were directly concerned
with.

I take your point about extensibility, & this is great because we don't
have to keep we inventing the wheel. There must be some additional
design input in coming up with something that works well in a new area
though, surely? I expect you'll tell me that this is a poor analogy, but
an ox-cart (which is designed for neither comfort nor speed) does not
need pneumatic tyres on its wheels even though they are round (basic
principle ready to be extended). A stretch limo (which favours comfort,
but would not corner well at speed) will definitely want pneumatic tyres
on its still-round wheels. Finally my sports car (which has a firm ride
some of my passengers have found to be lacking in comfort - shame, but
which will wriggle its way around Goodwood at speed) has low-profile
pneumatic tyres on wider than standard but still round wheels, which
incidentally are lightweight to boot to reduce the "unsprung" weight on
the outside of the firmed-up suspension system.

I think that there has to be a limit on this "convergence" thingy 

Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

arnyk wrote: 
> That Linkwitz Lab page seems to support my claim: "The distortion
> spectrum of this test signal is very discriminating and robust. It
> contains not only harmonics, but also *the more serious intermodulation
> components, which are of higher amplitude*. "
> 
> If you listen to anything but simple test tones over a system with
> nonlinear distortion, you will hear IM. It is probable that the IM will
> predominate because of its nature. (explained by means of a simple
> example, below)"
> 
> The only way to have the HD profile be a greater factor than the IM is
> to listen to pure test tones. As soon as you start listening to music,
> the IM will overwhelm the harmonic distortion.
> 
> Let's say that you have an amp that has only a second order nonlinearity
> that is as large as possible.
> 
> If you put in 1KHz, you will get out a 2 KHz tone half the amplitude of
> the input wave, plus a DC signal that is also half the amplitude of the
> input, but since your speakers and ears dont' respond to DC, it will be
> inaudible. 
> 
> If you put in a 1 KHz tone and a 1.5 KHz tone  that are together the
> same amplitude, you will make each half the maximum amplitude so they
> don't clip when you sum them. 
> 
> Due to the *same nonlinearity *you will get a 500 Hz tone, a 2 KHz tone,
> a 2500 Hz. tone and a 3 KHz tone. * Right off you get about four times 
> as many audible distortion-related spurious responses.*   The 500 and
> 2500 Hz tones are about half the size of each input wave, and the 2 KHz
> and 3 KHz tones are about half as large as them. So, the spurious
> responses from the IM are all audible and when added together have a
> about double the percentage as the one audible tone from the harmonic
> distortion. 
> 
> Thus the IM will overwhelm the harmonic distortion. Furthermore the
> harmonic distortion is likely to be masked by the natural harmonic
> structure of musical sounds, while the IM distortion as you can see, is
> about half tones that are not harmonically related to the source,  and
> won't have anything to mask them in the music. They will blare in your
> ear!

Hi again Arny!

You've been busy posting since I sloped off last night so I'm still
catching up.

Thank you for this clear & informative post on IM.

Would you think that your remarks in any way justify my preference for
Class A amplification since it seems to me to produce a output
remarkably free from IM at least in the case of my Pathos amp (ok, it's
only strictly Class A up to 30W per channel into 8 ohm but that goes a
long way in my modest room). Or am I misguidedly suffering from yet
another audiophile myth here, in your opinion?

Dave :)



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Re: [SlimDevices: Audiophiles] Intona USB thing

2017-05-06 Thread Golden Earring

arnyk wrote: 
> Our hearing systems have evolved to maximize sensitivity to potential
> existential threats such as large bloodthirsty predators given that our
> brains and nervous systems which have relatively slow (but in the case
> of the brain quite subtle) processing speeds and therefore are optimized
> when data rates are lowered in optimal ways.   Our sensory arguments
> particularly our ears incorporate many mechanisms that reduce the data
> rate of the information they transmit to the brain.

Morning Arny!

Apologies for delay in responding, yet again I had visitors last night.
I'm doing my little bit to give the lie to Alan Bennett's droll
observation: "Television is more interesting than people - if it were
not, we would have people standing in the corner of our rooms". (He said
that a long time ago now, 50's/60's I would guess!) I'm pretty sure that
this mission will be another one of my legendary heroic failures, but
such principles are important to me.

Am I now correct in my interpretation of what you saying is that we
needed to keep our sensitivity to quiet sounds maximised at all times
because that is all we'd get (if we were lucky) from such a hungry
carnivore which would probably have adopted a stalking approach, & also
possessed the ability to outpace us once it finally broke cover? Life
must really have been a very precarious thing back in those days.

Baby boomers like ourselves have in particular lived in charmed
circumstances once we finally developed the ability to "double-think"
away the true significance of both the awesomely destructive "beauty of
our weapons" (to borrow from Leonard Cohen "First we take Manhattan")
and the effect of our increasingly materialistic lifestyles on the
global ecosystems which support us. I do not think this bubble will
survive long enough to protect my children, & I am not relishing the
prospect of ending my days in an under-staffed retirement hovel which is
all I'm now likely to get if I live long enough. Even being a curmudgeon
(which I am in training for) wouldn't help much in those circumstances,
they'd just jab you up with anti-psychotics to make you more
"manageable", while continuing to ignore the necessary procedures
required to maintain any semblance of human dignity. I have now taken up
smoking cigars in sheer desperation (after an 18 month long genuine
"cold turkey" break from nicotine) although I have managed to completely
avoid cigarettes: my blood pressure however is remaining stubbornly
normal. Ce sera, sera I suppose. At least I'm not so bored as I was when
living vice-free (software stubbornly refusing to insert emoticon to
indicate a trace of "gallows humour" in this last bit, sorry).

In fact, assuming that we do not all fall victim to the cumulative
consequences of our stupidity first, the most significant threat to our
individual continued existence these days comes from one particular
aspect of our technology: the most dangerous activity that most of us
undertake on a regular basis is to drive a motor vehicle on the public
highway. I am in the most fortunate situation of not actually needing to
drive at all, so that when I do I can pick & choose the time of day &
the route that I take. I have a 14.5 year old open top sports car which
provides a most satisfying driving experience whilst obeying all
relevant speed limits, & is capable enough in terms of grip, braking,
handling & (least importantly) performance to give me a better chance of
avoiding hurting anyone else (& myself) should a genuine emergency
develop. Practically every time I take it out however I witness
substandard driving behaviour perpetrated by motorists seemingly unaware
that they have been granted a licence to operate a lethal weapon that
cannot be disarmed & which does not have a safety catch (other than
parking it up & taking the keys out). Frankly, it is surprising that
there are not more RTA's in the UK where our roads are very busy.

When I really feel the urge, I book myself into a Track Day at my local
circuit (Goodwood): it's a challenging circuit even with a relatively
low-powered vehicle as my 2002 Mazda MX-5 (Miata), but there is a great
sense of satisfaction when you get the weight transfer and line right on
its tricky corners. Top speed - don't know, I was too busy sighting my
braking point & the correct line for Woodcote, but I know I hit the rev
limiter in 4th (which translates to 115mph) on the Lavant straight,
changed up to 5th & continued to accelerate as per racing manual
instructions (if you're not braking, you should be accelerating!) until
reaching the approach to Woodcote, so I think we're comfortably talking
low to mid 120's. It's not cheap (c. £400 for the day) & it annihilates
your fuel consumption (you're lucky to get 12mpg) but it's fantastic fun
& allows you to explore the true capabilities of your car in a way that
would be both illegal & grossly irresponsible on public roads. They only
allow 12 cars on the circuit at any 1 time