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Ermwhatthesprucetone | 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 | |||
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. | ||
Revision as of 16:03, 25 January 2024
Ermwhatthesprucetone
A 41-note scale in the 29-limit
Steps In Ascending Order
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 111.731285 (16/15)
3 steps of 92.178717 (135/128)
1 step of 111.731285 (16/15)
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
Bear’s Choice Temperament A.K.A. Vicesimotertial 8edo
In cents
147.219024, 300.218467, 450.000384, 594.865588, 750.005208, 899.787125, 1052.786568, 1200.005592
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
Normal JI
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?)
In the former case, Bear’s Comma is 3722179279923/3418751795200. In the latter case, it’s 629050330316800/629048298306987.