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Ermwhatthesprucetone (29-limit)
Ermwhatthesprucetone


A 41-note scale in the 29-limit


Steps In Ascending Order
Steps In Ascending Order


33 steps of 16.575731 (2019241/2000000)
33 steps of 16.575731 (2019241/2000000)
1 step of 24.701198 (1200/1183)
1 step of 128.298245 (14/13)


1 step of 152.999445 (2400/2197)
1 step of 152.999445 (2400/2197)
Line 15: Line 22:


Spruce Comma of 0.002714 (77300065479163904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/77299944298455559068076745067175776920243424699723347487212164372321180411371493256509174290145027953446185092451321944663476856068937735822209642165858830949247937926572819709532130908795412249530290562960241481)
Spruce Comma of 0.002714 (77300065479163904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/77299944298455559068076745067175776920243424699723347487212164372321180411371493256509174290145027953446185092451321944663476856068937735822209642165858830949247937926572819709532130908795412249530290562960241481)


 
16.575731, 33.151462, 49.727193, 66.302924, 82.878655, 99.454386, 116.030117, 132.605848, 149.181579, 165.757310, 182.333041, 198.908772, 215.484503, 232.060234, 248.635965, 265.211696, 281.787427, 298.363158, 314.938889, 331.514620, 348.090351, 364.666082, 381.241813, 397.817544, 414.393275, 430.969006, 447.544737, 464.120468, 480.696199, 497.271930, 513.847661, 530.423392, 546.999123, 571.700321, 699.998566, 811.729851, 903.908568, 996.087284, 1088.266001, 1199.997286 1200.000000
16.575731, 33.151462, 49.727193, 66.302924, 82.878655, 99.454386, 116.030117, 132.605848, 149.181579, 165.757310, 182.333041, 198.908772, 215.484503, 232.060234, 248.635965, 265.211696, 281.787427, 298.363158, 314.938889, 331.514620, 348.090351, 364.666082, 381.241813, 397.817544, 414.393275, 430.969006, 447.544737, 464.120468, 480.696199, 497.271930, 513.847661, 530.423392, 546.999123, 699.998566, 811.729851, 903.908568, 996.087284, 1088.266001, 1199.997286
1200.000000








 

Bear’s Choice Temperament A.K.A. Vicesimotertial 8edo
 
Bear’s Choice Temperament
A.K.A. Vicesimotertial 8edo
 
 
In cents
In cents


147.219024, 300.218467, 450.000384, 594.865588, 750.005208, 899.787125, 1052.786568, 1200.005592
147.219024, 300.218467, 450.000384, 594.865588, 750.005208, 899.787125, 1052.786568, 1200.005592
 


Step by step
Step by step


184/169 x 2400/2197 x 736/675 x 735/676 x 35/32 x 736/675 x 2400/2197 x 184/169
184/169 x 2400/2197 x 736/675 x 735/676 x 35/32 x 736/675 x 2400/2197 x 184/169
 


Normal JI
Normal JI


184/169, 441600/371293, 4333568/3341637, 265431040/188245551, 290315200/188245551, 8546879488/5082629877, 6837503590400/3722179279923, 1258100660633600/629048298306987
184/169, 441600/371293, 4333568/3341637, 265431040/188245551, 290315200/188245551, 8546879488/5082629877, 6837503590400/3722179279923, 1258100660633600/629048298306987
 


Hey, I have a question. If I made this octave repeating, would the last step be the comma (147.213432 cents?) Or is a comma the difference between the point of repetition and the octave (0.005592 cents?)
Hey, I have a question. If I made this octave repeating, would the last step be the comma (147.213432 cents?) Or is a comma the difference between the point of repetition and the octave (0.005592 cents?)


In the former case, Bear’s Comma is 3722179279923/3418751795200. In the latter case, it’s 629050330316800/629048298306987.
In the former case, Bear’s Comma is 3722179279923/3418751795200. In the latter case, it’s 629050330316800/629048298306987.