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A new set

🔗Mario Pizarro <piagui@...>

1/11/2012 10:26:14 PM

THE REMARKED TONES CORRESPOND TO A SCALE THAT WORKS IN THE PROGRESSION OF
CELLS WHICH IS ALMOST COINCIDENT WITH THE EQUAL TEMPERED SCALE. SEE DATA 1, 2, 3.
C = 1
M 47 1.0546875 M 99 1.11866502492 M 151 1.18652343750 M 203 1.25849815304
M 48 1.05587840080 M 100 1.11992816597 M 152 1.18786320090 M 204 1.25991918672*
J 49 1.05707299111 J 101 1.12119522034 J 153 1.189207115* J 205 1.26134462288
J 50 1.05826893295 J 102 1.12246370821* J 154 1.19055254957 J 206 1.26277167174
M 51 1.05946387773* M 103 1.12373113855 M 155 1.19189686244 M 207 1.26419753086
M 52 1.06066017178 M 104 1.125 M 156 1.19324269325 M 208 1.265625
DATA 1 C# D Eb E
12 Edo. 1.05946309436 1.12246204831 1.189207115 1.25992105000
*** 1.05946387773 *** 1.12246370821 *** 1.189207115 *** 1.25991918672
*** TONE FREQUENCIES OF A SCALE SIMILAR TO 12 EDO THAT WORKS IN THE PROGRESSION OF CELLS.
J 252 1.33032735784 J 304 1.41102524393 J 355 1.49492696045 M 406 1.58381760120
M 253 1.33182949749 M 305 1.41261850364 J 356 1.49661827762 J 407 1.58560948667
M 254 1.33333333333 M 306 1.41421356237* M 357 1.49830818473* J 408 1.58740339942*
M 255 1.33483886719* M 307 1.41581042217 M 358 1.5 M 409 1.58919581659
M 256 1.33634610102 M 308 1.41740908506 M 359 1.50169372559 M 410 1.59099025767
J 257 1.33785800438 J 309 1.41901270074 M 360 1.50338936364 M 411 1.59278672494
DATA 2 F F# G Ab
12 Edo. 1.33483985415 1.41421356237 1.49830707687 1.58740105196
*** 1.33483886719 *** 1.41421356237 *** 1.49830818473 *** 1.58740339942
*** TONE FREQUENCIES OF A SCALE SIMILAR TO 12 EDO THAT WORKS IN THE PROGRESSION OF CELLS.

M 457 1.67799753739 M 508 1.77777777777 M 559 1.88349133818
M 458 1.67989224896 M 509 1.77978515625 M 560 1.88561808316
J 459 1.68179283051* M 510 1.78179480135* M 561 1.88774722956*
J 460 1.68369556232 J 511 1.78381067251 M 562 1.88987878008
M 461 1.68559670782 J 512 1.78582882435 J 563 1.89201693432
M 462 1.6875 M 513 1.78784529367 J 564 1.89415750761
DATA 3 A Bb B
12 Edo. 1.68179283051 1.78179743626 1.88774862535
*** 1.68179283051 *** 1.78179480135 *** 1.88774722956

A scale similar to 12 Equal tempered that It is expected that the precision of the 51
Cell works in the progression of cells. adder to produce four equal groups of 2^(1/4)
# INTERVALS of tone frequencies might be a sign that the
0 C 1 chord consonances generated by this new
.+51 1.05946387773 set could be better than what we get at the
51 C# 1.05946387773 present with the twelve tone equal tempered
.+51 1.05946387773 scale.
102 D 1.12246370821
.+51 1.05946152762
153 Eb 2^(1/4)
.+51 1.05946152762 January, 12
204 E 1.25991918672
.+51 1.05946387773 Mario Pizarro
255 F 1.33483886719
.+51 1.05946387772
306 F# 2^(1/2)
.+51 1.05946387773
357 G 1.49830818473
.+51 1.05946387772
408 Ab 1.58740339942
.+51 1.05946152763
459 A 2^(3/4)
.+51 1.05946152762
510 Bb 1.78179480135
.+51 1.05946387773
561 B 1.88774722956
.+51 1.05946387773
612 2C 2
PRODUCT 2.00000000000