95ed5: Difference between revisions
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Line 20: | Line 20: | ||
| | 2 | | | 2 | ||
| | 58.6592 | | | 58.6592 | ||
| | | | | 931/900 | ||
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|- | |- | ||
| | 3 | | | 3 | ||
| | 87.9889 | | | 87.9889 | ||
| | 81/77 | | | 81/77, [[20/19]] | ||
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|- | |- | ||
| | 4 | | | 4 | ||
| | 117.3185 | | | 117.3185 | ||
| | | | | 1280/1197 | ||
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|- | |- | ||
| | 5 | | | 5 | ||
| | 146.6481 | | | 146.6481 | ||
| | [[49/45]] | | | 209/192, [[49/45]] | ||
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|- | |- | ||
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| | 8 | | | 8 | ||
| | 234.6369 | | | 234.6369 | ||
| | [[55 | | | [[63/55]], [[55/48]] | ||
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Line 70: | Line 70: | ||
| | 12 | | | 12 | ||
| | 351.9554 | | | 351.9554 | ||
| | [[60/49]] | | | [[60/49]], 256/209 | ||
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|- | |- | ||
| | 13 | | | 13 | ||
| | 381.2850 | | | 381.2850 | ||
| | | | | 399/320 | ||
| | pseudo-[[5/4]] | | | pseudo-[[5/4]] | ||
|- | |- | ||
| | 14 | | | 14 | ||
| | 410.6147 | | | 410.6147 | ||
| | | | | [[19/15]] | ||
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|- | |- | ||
| | 15 | | | 15 | ||
| | 439.9443 | | | 439.9443 | ||
| | | | | 1200/931 | ||
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|- | |- | ||
Line 110: | Line 110: | ||
| | 20 | | | 20 | ||
| | 586.5924 | | | 586.5924 | ||
| | 108/77, 275/196 | | | 108/77, 275/196, 80/57 | ||
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| | 22 | | | 22 | ||
| | 645.2516 | | | 645.2516 | ||
| | 196/135 | | | 209/144, 196/135 | ||
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Line 130: | Line 130: | ||
| | 24 | | | 24 | ||
| | 703.9108 | | | 703.9108 | ||
| | | | | 1539/1024 | ||
| | pseudo-[[3/2]] | | | pseudo-[[3/2]] | ||
|- | |- | ||
| | 25 | | | 25 | ||
| | 733.2405 | | | 733.2405 | ||
| | 84/55, 55/36 | | | 171/112, 84/55, 55/36 | ||
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| | 29 | | | 29 | ||
| | 850.5589 | | | 850.5589 | ||
| | | | | 1024/627 | ||
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|- | |- | ||
| | 30 | | | 30 | ||
| | 879.8885 | | | 879.8885 | ||
| | | | | 133/80 | ||
| | pseudo-[[5/3]] | | | pseudo-[[5/3]] | ||
|- | |- | ||
| | 31 | | | 31 | ||
| | 909.2182 | | | 909.2182 | ||
| | 1232/729, 3645/2156 | | | 1232/729, 3645/2156, 225/133 | ||
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|- | |- | ||
Line 195: | Line 195: | ||
| | 37 | | | 37 | ||
| | 1085.1959 | | | 1085.1959 | ||
| | 144/77, 275/147 | | | 144/77, 275/147, 320/171 | ||
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| | 39 | | | 39 | ||
| | 1143.8551 | | | 1143.8551 | ||
| | | | | 209/108, 405/209 | ||
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|- | |- | ||
Line 215: | Line 215: | ||
| | 41 | | | 41 | ||
| | 1202.5143 | | | 1202.5143 | ||
| | 441/220 | | | 513/256, 441/220 | ||
| | pseudo-[[octave]] | | | pseudo-[[octave]] | ||
|- | |- | ||
| | 42 | | | 42 | ||
| | 1231.8440 | | | 1231.8440 | ||
| | [[56/55|112/55]], [[55/54|55/27]] | | | 57/28, [[56/55|112/55]], [[55/54|55/27]] | ||
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Line 245: | Line 245: | ||
| | 47 | | | 47 | ||
| | 1378.4920 | | | 1378.4920 | ||
| | 539/243 | | | 133/60, 539/243 | ||
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|- | |- | ||
| | 48 | | | 48 | ||
| | 1407.8217 | | | 1407.8217 | ||
| | 1215/539 | | | 1215/539, 300/133 | ||
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|- | |- | ||
Line 275: | Line 275: | ||
| | 53 | | | 53 | ||
| | 1554.4698 | | | 1554.4698 | ||
| | [[27/22|27/11]], 275/112 | | | [[27/22|27/11]], 275/112, 140/57 | ||
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|- | |- | ||
| | 54 | | | 54 | ||
| | 1583.7994 | | | 1583.7994 | ||
| | 1100/441 | | | 1100/441, 1280/513 | ||
| | pseudo-[[5/2]] | | | pseudo-[[5/2]] | ||
|- | |- | ||
Line 290: | Line 290: | ||
| | 56 | | | 56 | ||
| | 1642.4586 | | | 1642.4586 | ||
| | | | | 209/81, 540/209 | ||
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|- | |- | ||
Line 300: | Line 300: | ||
| | 58 | | | 58 | ||
| | 1701.1178 | | | 1701.1178 | ||
| | 147/55, 385/144 | | | 171/64, 147/55, 385/144 | ||
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|- | |- | ||
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| | 64 | | | 64 | ||
| | 1877.0956 | | | 1877.0956 | ||
| | 2156/729, 3645/1232 | | | 133/45, 2156/729, 3645/1232 | ||
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|- | |- | ||
| | 65 | | | 65 | ||
| | 1906.4252 | | | 1906.4252 | ||
| | | | | 400/133 | ||
| | pseudo-[[3/1]] | | | pseudo-[[3/1]] | ||
|- | |- | ||
| | 66 | | | 66 | ||
| | 1935.7548 | | | 1935.7548 | ||
| | | | | 3135/1024 | ||
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|- | |- | ||
Line 360: | Line 360: | ||
| | 70 | | | 70 | ||
| | 2053.0733 | | | 2053.0733 | ||
| | [[18/11|36/11]], 275/84 | | | [[18/11|36/11]], 275/84, 560/171 | ||
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|- | |- | ||
| | 71 | | | 71 | ||
| | 2082.4029 | | | 2082.4029 | ||
| | | | | 5120/1539 | ||
| | pseudo-[[10/3]] | | | pseudo-[[10/3]] | ||
|- | |- | ||
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| | 73 | | | 73 | ||
| | 2141.0621 | | | 2141.0621 | ||
| | 675/196 | | | 675/196, 720/209 | ||
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|- | |- | ||
Line 385: | Line 385: | ||
| | 75 | | | 75 | ||
| | 2199.7214 | | | 2199.7214 | ||
| | 196/55, 385/108 | | | 57/16, 196/55, 385/108 | ||
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|- | |- | ||
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| | 80 | | | 80 | ||
| | 2346.3694 | | | 2346.3694 | ||
| | | | | 931/240 | ||
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|- | |- | ||
| | 81 | | | 81 | ||
| | 2375.6991 | | | 2375.6991 | ||
| | | | | 75/19 | ||
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|- | |- | ||
| | 82 | | | 82 | ||
| | 2405.0287 | | | 2405.0287 | ||
| | | | | 1600/399 | ||
| | pseudo-[[4/1]] | | | pseudo-[[4/1]] | ||
|- | |- | ||
| | 83 | | | 83 | ||
| | 2434.3583 | | | 2434.3583 | ||
| | [[49/48|49/12]] | | | 1045/256, [[49/48|49/12]] | ||
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|- | |- | ||
Line 460: | Line 460: | ||
| | 90 | | | 90 | ||
| | 2639.6656 | | | 2639.6656 | ||
| | 225/49 | | | 225/49, 960/209 | ||
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|- | |- | ||
| | 91 | | | 91 | ||
| | 2668.9952 | | | 2668.9952 | ||
| | | | | 1197/256 | ||
| | | | | | ||
|- | |- | ||
| | 92 | | | 92 | ||
| | 2698.3249 | | | 2698.3249 | ||
| | 385/81 | | | 19/4, 385/81 | ||
| | | | | | ||
|- | |- | ||
| | 93 | | | 93 | ||
| | 2727.6545 | | | 2727.6545 | ||
| | | | | 4500/931 | ||
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|- | |- | ||
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|} | |} | ||
95ed5 can also be thought of as a generator of the 11- | ==95ed5 as a generator== | ||
95ed5 can also be thought of as a generator of the 2.3.5.7.11.19-subgroup temperament which tempers out 1540/1539, 3025/3024, 6875/6859, and 184877/184320, which is a [[cluster temperament]] with 41 clusters of notes in an octave. While the small chroma interval between adjacent notes in each cluster represents 385/384, 441/440, 1479016/1476225, 194579/194400, 204800/204687, and 176000/175959 tempered together, the step interval is very versatile, representing 16807/16500 ~ 19551/19200 ~ 18000/17689 ~ 72900/71687 ~ 273375/268912 ~ 295245/290521 ~ 12100/11907 ~ 64/63 all tempered together. This temperament is supported by [[41edo]], [[491edo]] (491e val), and [[532edo]] (532d val) among others. |