> To make any sense at all out of the synthesizer settings, you need the magic
> table in
> the manual. They are very random and not all settings actually work ( =
> produce a
> stable output).
A few of the entries have very much longer moduli than the rest,
and those will probably be less stable for that reason.
I suspect the published list was tweaked to ensure even-ish coverage.
I once hacked a small python script (attached) to reproduce the table
from the manual, here is the output from it:
+---------------------------+-----------------------------+
| Thumb Offset Freq | Thumb Offset Freq |
+---------------------------+-----------------------------+
| 0001 -213.719 5314955.00 | 9348 -1000.603 5314417.19 |
| 0002 -199.087 5314965.00 | 7885 -995.309 5314420.81 |
| 0003 -923.334 5314470.00 | 9189 -986.777 5314426.64 |
| 0004 -616.078 5314680.00 | 9030 -977.471 5314433.00 |
| 0005 -602.910 5314689.00 | 8871 -970.785 5314437.57 |
| 5691 -940.723 5314458.12 | 8712 -965.767 5314441.00 |
| 5726 -596.318 5314693.51 | 8394 -958.686 5314445.84 |
| 5952 -191.236 5314970.37 | 7758 -950.566 5314451.39 |
| 5980 -621.015 5314676.63 | 5691 -940.723 5314458.12 |
| 6301 -221.040 5314950.00 | 9841 -930.036 5314465.42 |
| 6518 -916.829 5314474.45 | 0003 -923.334 5314470.00 |
| 6519 -784.650 5314564.79 | 6518 -916.829 5314474.45 |
| 7013 -591.165 5314697.03 | 7472 -911.838 5314477.86 |
| 7207 -40.474 5315073.41 | 8267 -903.497 5314483.56 |
| 7318 -55.120 5315063.40 | 8744 -893.401 5314490.46 |
| 7443 -408.216 5314822.07 | 8903 -888.104 5314494.08 |
| 7472 -911.838 5314477.86 | 9062 -880.993 5314498.94 |
| 7603 -181.446 5314977.06 | 9221 -870.970 5314505.79 |
| 7696 -630.493 5314670.15 | 8601 -864.270 5314510.37 |
| 7697 -430.586 5314806.78 | 9380 -855.827 5314516.14 |
| 7698 -230.489 5314943.54 | 8919 -844.913 5314523.60 |
| 7743 -766.959 5314576.88 | 8458 -840.524 5314526.60 |
| 7758 -950.566 5314451.39 | 9539 -830.236 5314533.63 |
| 7777 -309.118 5314889.80 | 7854 -822.836 5314538.69 |
| 7792 -492.447 5314764.50 | 8776 -817.274 5314542.49 |
| 7854 -822.836 5314538.69 | 9237 -809.431 5314547.85 |
| 7885 -995.309 5314420.81 | 8935 -800.433 5314554.00 |
| 7888 -341.848 5314867.43 | 8029 -789.973 5314561.15 |
| 7918 -731.156 5314601.35 | 6519 -784.650 5314564.79 |
| 7919 -509.961 5314752.53 | 9698 -777.681 5314569.55 |
| 8014 -582.532 5314702.93 | 7743 -766.959 5314576.88 |
| 8029 -789.973 5314561.15 | 8347 -763.037 5314579.56 |
| 8031 -322.490 5314880.66 | 8951 -754.594 5314585.33 |
| 8142 -360.488 5314854.69 | 9253 -745.259 5314591.71 |
| 8238 -172.783 5314982.98 | 8808 -737.036 5314597.33 |
| 8253 -403.313 5314825.42 | 7918 -731.156 5314601.35 |
| 8267 -903.497 5314483.56 | 9555 -723.253 5314606.75 |
| 8333 -240.028 5314937.02 | 8522 -712.134 5314614.35 |
| 8347 -763.037 5314579.56 | 8967 -707.335 5314617.63 |
| 8379 -702.976 5314620.61 | 8379 -702.976 5314620.61 |
| 8394 -958.686 5314445.84 | 9412 -695.293 5314625.86 |
| 8397 -97.666 5315034.32 | 8681 -685.857 5314632.31 |
| 8411 -640.485 5314663.32 | 9269 -678.277 5314637.49 |
| 8413 -60.283 5315059.87 | 9126 -666.821 5314645.32 |
| 8429 -22.139 5315085.94 | 8983 -658.598 5314650.94 |
| 8458 -840.524 5314526.60 | 8697 -647.552 5314658.49 |
| 8459 -541.900 5314730.70 | 8411 -640.485 5314663.32 |
| 8491 -472.679 5314778.01 | 7696 -630.493 5314670.15 |
| 8522 -712.134 5314614.35 | 5980 -621.015 5314676.63 |
| 8556 -6.016 5315096.96 | 0004 -616.078 5314680.00 |
| 8571 -286.087 5314905.54 | 9857 -608.295 5314685.32 |
| 8586 -572.113 5314710.05 | 0005 -602.910 5314689.00 |
| 8601 -864.270 5314510.37 | 5726 -596.318 5314693.51 |
| 8618 -497.231 5314761.23 | 7013 -591.165 5314697.03 |
| 8619 -163.755 5314989.15 | 8014 -582.532 5314702.93 |
| 8635 -121.061 5315018.33 | 8586 -572.113 5314710.05 |
| 8651 -77.372 5315048.19 | 8872 -562.939 5314716.32 |
| 8667 -32.615 5315078.78 | 9015 -556.355 5314720.82 |
| 8681 -685.857 5314632.31 | 9158 -547.532 5314726.85 |
| 8682 -336.579 5314871.03 | 8459 -541.900 5314730.70 |
| 8697 -647.552 5314658.49 | 9301 -535.095 5314735.35 |
| 8712 -965.767 5314441.00 | 8745 -526.756 5314741.05 |
| 8714 -250.255 5314930.03 | 9444 -516.279 5314748.21 |
| 8744 -893.401 5314490.46 | 7919 -509.961 5314752.53 |
| 8745 -526.756 5314741.05 | 9031 -502.702 5314757.49 |
| 8776 -817.274 5314542.49 | 8618 -497.231 5314761.23 |
| 8777 -440.973 5314799.68 | 7792 -492.447 5314764.50 |
| 8793 -396.362 5314830.17 | 9587 -484.412 5314769.99 |
| 8808 -737.036 5314597.33 | 8491 -472.679 5314778.01 |
| 8825 -303.512 5314893.63 | 8904 -468.260 5314781.03 |
| 8841 -255.171 5314926.67 | 9317 -458.486 5314787.71 |
| 8871 -970.785 5314437.57 | 9047 -447.250 5314795.39 |
| 8872 -562.939 5314716.32 | 8777 -440.973 5314799.68 |
| 8873 -154.361 5314995.57 | 7697 -430.586 5314806.78 |
| 8889 -101.777 5315031.51 | 9730 -418.820 5314814.82 |
| 8903 -888.104 5314494.08 | 7443 -408.216 5314822.07 |
| 8904 -468.260 5314781.03 | 8253 -403.313 5314825.42 |
| 8919 -844.913 5314523.60 | 8793 -396.362 5314830.17 |
| 8935 -800.433 5314554.00 | 9063 -389.895 5314834.59 |
| 8936 -367.890 5314849.63 | 9333 -378.190 5314842.59 |
| 8951 -754.594 5314585.33 | 8936 -367.890 5314849.63 |
| 8967 -707.335 5314617.63 | 8142 -360.488 5314854.69 |
| 8968 -261.286 5314922.49 | 9603 -350.565 5314861.47 |
| 8983 -658.598 5314650.94 | 7888 -341.848 5314867.43 |
| 9000 -147.865 5315000.01 | 8682 -336.579 5314871.03 |
| 9015 -556.355 5314720.82 | 9079 -330.551 5314875.15 |
| 9030 -977.471 5314433.00 | 8031 -322.490 5314880.66 |
| 9031 -502.702 5314757.49 | 9476 -315.392 5314885.51 |
| 9032 -26.952 5315082.65 | 7777 -309.118 5314889.80 |
| 9047 -447.250 5314795.39 | 8825 -303.512 5314893.63 |
| 9062 -880.993 5314498.94 | 9349 -293.957 5314900.16 |
| 9063 -389.895 5314834.59 | 8571 -286.087 5314905.54 |
| 9079 -330.551 5314875.15 | 9222 -279.502 5314910.04 |
| 9095 -269.114 5314917.14 | 9095 -269.114 5314917.14 |
| 9126 -666.821 5314645.32 | 8968 -261.286 5314922.49 |
| 9127 -139.481 5315005.74 | 8841 -255.171 5314926.67 |
| 9143 -71.036 5315052.52 | 8714 -250.255 5314930.03 |
| 9158 -547.532 5314726.85 | 8333 -240.028 5314937.02 |
| 9159 0.013 5315101.08 | 7698 -230.489 5314943.54 |
| 9189 -986.777 5314426.64 | 6301 -221.040 5314950.00 |
| 9221 -870.970 5314505.79 | 0001 -213.719 5314955.00 |
| 9222 -279.502 5314910.04 | 9873 -205.467 5314960.64 |
| 9237 -809.431 5314547.85 | 0002 -199.087 5314965.00 |
| 9253 -745.259 5314591.71 | 5952 -191.236 5314970.37 |
| 9254 -128.259 5315013.41 | 7603 -181.446 5314977.06 |
| 9269 -678.277 5314637.49 | 8238 -172.783 5314982.98 |
| 9301 -535.095 5314735.35 | 8619 -163.755 5314989.15 |
| 9317 -458.486 5314787.71 | 8873 -154.361 5314995.57 |
| 9333 -378.190 5314842.59 | 9000 -147.865 5315000.01 |
| 9348 -1000.603 5314417.19 | 9127 -139.481 5315005.74 |
| 9349 -293.957 5314900.16 | 9254 -128.259 5315013.41 |
| 9380 -855.827 5314516.14 | 8635 -121.061 5315018.33 |
| 9381 -112.413 5315024.24 | 9381 -112.413 5315024.24 |
| 9397 -14.413 5315091.22 | 8889 -101.777 5315031.51 |
| 9412 -695.293 5314625.86 | 8397 -97.666 5315034.32 |
| 9444 -516.279 5314748.21 | 9508 -88.388 5315040.66 |
| 9476 -315.392 5314885.51 | 8651 -77.372 5315048.19 |
| 9508 -88.388 5315040.66 | 9143 -71.036 5315052.52 |
| 9539 -830.236 5314533.63 | 8413 -60.283 5315059.87 |
| 9555 -723.253 5314606.75 | 7318 -55.120 5315063.40 |
| 9587 -484.412 5314769.99 | 9635 -47.655 5315068.50 |
| 9603 -350.565 5314861.47 | 7207 -40.474 5315073.41 |
| 9635 -47.655 5315068.50 | 8667 -32.615 5315078.78 |
| 9698 -777.681 5314569.55 | 9032 -26.952 5315082.65 |
| 9730 -418.820 5314814.82 | 8429 -22.139 5315085.94 |
| 9841 -930.036 5314465.42 | 9397 -14.413 5315091.22 |
| 9857 -608.295 5314685.32 | 8556 -6.016 5315096.96 |
| 9873 -205.467 5314960.64 | 9159 0.013 5315101.08 |
+---------------------------+-----------------------------+
--
Poul-Henning Kamp | UNIX since Zilog Zeus 3.20
p...@freebsd.org | TCP/IP since RFC 956
FreeBSD committer | BSD since 4.3-tahoe
Never attribute to malice what can adequately be explained by incompetence.
#!/usr/bin/env python
d = set ([
9348, 9189, 9030, 8871, 8394, 7758, 5691, 9841,
7472, 8267, 8744, 8903, 9062, 9221, 9380, 8919,
8458, 9539, 8776, 9237, 8935, 8029, 9698, 8347,
8951, 9253, 8808,
9555, 8522, 8967, 9412, 8681, 9269, 9126, 8983,
8697, 8411, 7696, 5980, 9857, 7013, 8014, 8586,
8872, 9015, 9158, 9301, 8745, 9444, 9031, 8618,
9587, 8491, 8904, 9317, 9047, 8777, 7697, 9730,
8253, 8793, 9063, 9333, 8936, 8142, 9603, 8682,
9079, 9476, 8825, 9349, 8571, 9222, 9095, 8841,
8714, 8333, 7698, 6301, 9873, 5952, 7603, 8238,
8619, 8873, 9000, 9127, 9254, 9381,
8889, 8397, 9508, 8651, 9143, 8413, 9635, 8667,
9032, 9397, 8556, 9159,
8429, 7885, 6518, 5726, 8635, 7777, 7443, 7207,
8601, 7743, 8031, 8968, 7918, 7888, 7919, 7854,
7792, 7318, 8459, 6519, 8712, 8379,
])
def oo(f):
if f == 0:
return 0
o = (60e6*114-f) / (60e6*114-5315101.07) - 1
o *= -1e10
return o
def xx(n, m, t, f):
o = oo(f)
if o < -1001:
return
if o > 1:
return
ll.append([o,n, m, t, f])
ll=[]
for t in range(5691,9990):
n = 10000-t
r = 5e6/n
p = n / 5e6
m = int(5.315e6/r + .5)
f = 5e6*m/n
xx(n, m, t, f)
xx(0, 0, 1, 5314955)
xx(0, 0, 2, 5314965)
xx(0, 0, 3, 5314470)
xx(0, 0, 4, 5314680)
xx(0, 0, 5, 5314689)
ll.sort()
ly = []
lz = []
lw = []
ff = True
gi = 0
l = 5314417.17
for o,n,m,t,f in ll:
if f == ff:
continue
if t in d or n == 0:
gy = gi ^ (gi >> 1)
ly.append([gy & 0x7f, float("%.2f%04d" % (f,t)), t])
lz.append([gy & 0x7f, float("%.2f%04d" % (f,t)), gi, t])
gi += 1
for gi in range(127):
f = 5314417. + 5.45 * gi
lw.append([gi | 0x80, f])
lw.append([255, 0])
ly.sort(key=lambda x: x[2])
lz.sort(key=lambda x: x[2])
lw.sort()
print(" +---------------------------+-----------------------------+")
print(" | Thumb Offset Freq | Thumb Offset Freq |")
print(" +---------------------------+-----------------------------+")
r = {}
for i in range(128):
r[ly[i][0]] = ly[i][1]
r[lw[i][0]] = lw[i][1]
s = " | "
s += "%04d " % ly[i][2]
s += "%9.3f " % oo(ly[i][1])
s += "%10.2f | " % ly[i][1]
print(
s,
"%04d " % lz[i][3],
# "%3d" % lz[i][0],
"%9.3f" % oo(lz[i][1]),
"%10.2f |" % lz[i][1],
)
print(" +---------------------------+-----------------------------+")
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