Rodan: Difference between revisions
added infobox |
Make sure the data are right. Reduce by one decimal place for the cents in the interval chain |
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| Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit) | | Comma basis = [[245/243]], [[1029/1024]] (7-limit); <br> [[245/243]], [[385/384]], [[441/440]] (11-limit) | ||
| Edo join 1 = 41 | Edo join 2 = 46 | | Edo join 1 = 41 | Edo join 2 = 46 | ||
| Generator = 8/7 | Generator tuning = 234.4 | Optimization method = | | Generator = 8/7 | Generator tuning = 234.4 | Optimization method = CWE | ||
| MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], | | MOS scales = [[1L 4s]], [[5L 1s]], [[5L 6s]], …, [[5L 36s]], [[41L 5s]] | ||
| Mapping = 1; 3 17 -1 -13 | | Mapping = 1; 3 17 -1 -13 | ||
| Pergen = (P8, P5/3) | | Pergen = (P8, P5/3) | ||
Line 35: | Line 35: | ||
|- | |- | ||
| 0 | | 0 | ||
| 0. | | 0.00 | ||
| '''1/1''' | | '''1/1''' | ||
| | | | ||
|- | |- | ||
| 1 | | 1 | ||
| 234. | | 234.48 | ||
| '''8/7''' | | '''8/7''' | ||
| | | | ||
|- | |- | ||
| 2 | | 2 | ||
| 468. | | 468.96 | ||
| '''21/16''' | | '''21/16''' | ||
| 17/13 | | 17/13 | ||
|- | |- | ||
| 3 | | 3 | ||
| 703. | | 703.45 | ||
| '''3/2''' | | '''3/2''' | ||
| | | | ||
|- | |- | ||
| 4 | | 4 | ||
| 937. | | 937.93 | ||
| 12/7 | | 12/7 | ||
| | | | ||
|- | |- | ||
| 5 | | 5 | ||
| 1172. | | 1172.41 | ||
| 63/32, 160/81 | | 63/32, 160/81 | ||
| | | | ||
|- | |- | ||
| 6 | | 6 | ||
| 206. | | 206.89 | ||
| '''9/8''' | | '''9/8''' | ||
| | | | ||
|- | |- | ||
| 7 | | 7 | ||
| 441. | | 441.38 | ||
| 9/7 | | 9/7 | ||
| 22/17 | | 22/17 | ||
|- | |- | ||
| 8 | | 8 | ||
| 675. | | 675.86 | ||
| 40/27 | | 40/27 | ||
| | | | ||
|- | |- | ||
| 9 | | 9 | ||
| 910. | | 910.34 | ||
| 22/13, 27/16, 33/28 | | 22/13, 27/16, 33/28 | ||
| | | | ||
|- | |- | ||
| 10 | | 10 | ||
| 1144. | | 1144.82 | ||
| 27/14, 35/18, 64/33 | | 27/14, 35/18, 64/33 | ||
| 33/17 | | 33/17 | ||
|- | |- | ||
| 11 | | 11 | ||
| 179. | | 179.30 | ||
| 10/9 | | 10/9 | ||
| | | | ||
|- | |- | ||
| 12 | | 12 | ||
| 413. | | 413.79 | ||
| 14/11, 33/26, 80/63 | | 14/11, 33/26, 80/63 | ||
| | | | ||
|- | |- | ||
| 13 | | 13 | ||
| 648. | | 648.27 | ||
| '''16/11''' | | '''16/11''' | ||
| | | | ||
|- | |- | ||
| 14 | | 14 | ||
| 882. | | 882.75 | ||
| 5/3 | | 5/3 | ||
| | | | ||
|- | |- | ||
| 15 | | 15 | ||
| 1117. | | 1117.23 | ||
| 21/11, 40/21 | | 21/11, 40/21 | ||
| | | | ||
|- | |- | ||
| 16 | | 16 | ||
| 151. | | 151.71 | ||
| 12/11 | | 12/11 | ||
| | | | ||
|- | |- | ||
| 17 | | 17 | ||
| 386. | | 386.20 | ||
| '''5/4''' | | '''5/4''' | ||
| | | | ||
|- | |- | ||
| 18 | | 18 | ||
| 620. | | 620.68 | ||
| 10/7 | | 10/7 | ||
| | | | ||
|- | |- | ||
| 19 | | 19 | ||
| 855. | | 855.16 | ||
| 18/11, 64/39 | | 18/11, 64/39 | ||
| 28/17 | | 28/17 | ||
|- | |- | ||
| 20 | | 20 | ||
| 1089. | | 1089.64 | ||
| '''15/8''' | | '''15/8''' | ||
| '''32/17''' | | '''32/17''' | ||
|- | |- | ||
| 21 | | 21 | ||
| 124. | | 124.13 | ||
| 14/13, 15/14 | | 14/13, 15/14 | ||
| | | | ||
|- | |- | ||
| 22 | | 22 | ||
| 358. | | 358.61 | ||
| '''16/13''', 27/22 | | '''16/13''', 27/22 | ||
| 21/17 | | 21/17 | ||
|- | |- | ||
| 23 | | 23 | ||
| 593. | | 593.09 | ||
| 45/32 | | 45/32 | ||
| 24/17 | | 24/17 | ||
|- | |- | ||
| 24 | | 24 | ||
| 827. | | 827.57 | ||
| 21/13 | | 21/13 | ||
| | | | ||
|- | |- | ||
| 25 | | 25 | ||
| 1062. | | 1062.05 | ||
| 24/13 | | 24/13 | ||
| | | | ||
|} | |} | ||
<nowiki/>* In | <nowiki/>* In 13-limit CWE tuning, octave reduced | ||
== Notation == | == Notation == | ||
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{| class="wikitable center-1 center-3" | {| class="wikitable center-1 center-3" | ||
|+ style="font-size: 105%;" | Rodan nomenclature<br | |+ style="font-size: 105%;" | Rodan nomenclature<br>for selected intervals | ||
|- | |- | ||
! Ratio | ! Ratio |