On Tue Aug 9, at TuesdayAug 9 6:37 AM, Steve Parker wrote:

> 
> On 9 Aug 2011, at 01:18, Christopher Smith wrote:
> 
>> 
>> On Mon Aug 8, at MondayAug 8 7:51 PM, Steve Parker wrote:
>> 
>>> 
>>> On 8 Aug 2011, at 23:21, Klaus Smedegaard Bjerre wrote:
>>> 
>>>> One scale inherent in the first 13 partials of brasses is the overtone 
>>>> scale, also known as the Lydian dominant scale.
>>> 
>>> The 11th harmonic is actually about midway between the perfect fourth and 
>>> the augmented fourth.
>>> George Russell's Lydian Chromatic Concept sort of claims otherwise but...
>> 
>> It's marginally closer to the #4 than to the P4. It's not anywhere near what 
>> we call in tune these days, but it's enough to be interpreted by our ears as 
>> the #4.
> 
> Very marginally (1 cent)..... I don't hear it as an augmented fourth.
> 

It's only one cent away from a 1/4 tone in EQUAL temperament, but if you are 
hearing it as the next diatonic interval above a major third in the harmonic 
series, it's a whopping 15 cents closer to a whole tone than a half tone above 
the major 3rd. I definitely hear it as F# (actually, on the Bb harmonic series 
on a trombone in first position, it is quite a bit closer to E than Eb even in 
equal temperament. I can lip it quite a bit, so it is hard to measure exactly. 
Perhaps its actual tuning has something to do with brass instrument 
construction that would not show up on a tube in a lab experiment.)

There was some research done in the last 20 years or so on pitch recognition, 
and there IS a grey area around the quarter tone where people can hear either 
the note above or below, depending on personal history and context of how the 
note is played. I'm not saying YOU don't hear it the way you do, I'm just 
saying there is flexibility when you get far away from the usual 12-tone system 
that can account for variances in identification, even between two experienced 
musicians. So I retract what I said about "interpreted by our ears." It's only 
interpreted that way by MY ears, and I think I could be swayed differently in 
context different from a scale.

Christopher



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