Rodan: Difference between revisions
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Add an interval table |
Add 17-limit and a few tunings |
||
| Line 12: | Line 12: | ||
|- | |- | ||
!11-limit | !11-limit | ||
!13-limit | !13- and 17-limit | ||
|- | |||
|0 | |||
|0.000 | |||
|1/1 | |||
| | |||
|- | |- | ||
|1 | |1 | ||
| Line 22: | Line 27: | ||
|468.964 | |468.964 | ||
|21/16 | |21/16 | ||
| | |17/13 | ||
|- | |- | ||
|3 | |3 | ||
| Line 47: | Line 52: | ||
|441.375 | |441.375 | ||
|9/7 | |9/7 | ||
| | |22/17 | ||
|- | |- | ||
|8 | |8 | ||
| Line 62: | Line 67: | ||
|1144.821 | |1144.821 | ||
|27/14~35/18~64/33 | |27/14~35/18~64/33 | ||
| | |33/17 | ||
|- | |- | ||
|11 | |11 | ||
| Line 107: | Line 112: | ||
|855.161 | |855.161 | ||
|18/11 | |18/11 | ||
|64/39 | |64/39~28/17 | ||
|- | |- | ||
|20 | |20 | ||
|1089.643 | |1089.643 | ||
|15/8 | |15/8 | ||
| | |32/17 | ||
|- | |- | ||
|21 | |21 | ||
| Line 122: | Line 127: | ||
|358.607 | |358.607 | ||
|27/22 | |27/22 | ||
|16/13 | |16/13~21/17 | ||
|} | |} | ||
<nowiki>*</nowiki> in 13-limit POTE tuning | <nowiki>*</nowiki> in 13-limit POTE tuning | ||
| Line 219: | Line 224: | ||
| | 24/17 | | | 24/17 | ||
| | 703.956 | | | 703.956 | ||
|- | |||
|17/16 | |||
|704.257 | |||
|- | |- | ||
| | 10/9 | | | 10/9 | ||
| | 704.292 | | | 704.292 | ||
|- | |||
|27\46 | |||
|704.348 | |||
|- | |- | ||
| | 14/11 | | | 14/11 | ||
Revision as of 10:21, 8 June 2020
Gencom: [2 8/7; 154/153 196/195 245/243 273/272 364/363]
Gencom map: [<1 1 -1 3 6 8 8|, <0 3 17 -1 -13 -22 -20|]
Interval Chain
| # | Cents* | Approximate Ratios | |
|---|---|---|---|
| 11-limit | 13- and 17-limit | ||
| 0 | 0.000 | 1/1 | |
| 1 | 234.482 | 8/7 | |
| 2 | 468.964 | 21/16 | 17/13 |
| 3 | 703.446 | 3/2 | |
| 4 | 937.929 | 12/7 | |
| 5 | 1172.411 | 63/32~160/81 | |
| 6 | 206.893 | 9/8 | |
| 7 | 441.375 | 9/7 | 22/17 |
| 8 | 675.857 | 40/27 | |
| 9 | 910.339 | 27/16 | 22/13 |
| 10 | 1144.821 | 27/14~35/18~64/33 | 33/17 |
| 11 | 179.304 | 10/9 | |
| 12 | 413.786 | 14/11~81/64~80/63 | 33/26 |
| 13 | 648.268 | 16/11 | |
| 14 | 882.750 | 5/3 | |
| 15 | 1117.232 | 21/11~40/21 | |
| 16 | 151.714 | 12/11 | |
| 17 | 386.196 | 5/4 | |
| 18 | 620.679 | 10/7 | |
| 19 | 855.161 | 18/11 | 64/39~28/17 |
| 20 | 1089.643 | 15/8 | 32/17 |
| 21 | 124.125 | 15/14 | 14/13 |
| 22 | 358.607 | 27/22 | 16/13~21/17 |
* in 13-limit POTE tuning
Spectrum of Rodan Tunings by Eigenmonzos
| Eigenmonzo | Fifth |
|---|---|
| 8/7 | 693.522 |
| 17/13 | 696.642 |
| 7/6 | 699.847 |
| 9/7 | 700.750 |
| 4/3 | 701.955 |
| 24\41 | 702.439 |
| 15/14 | 702.778 |
| 7/5 | 702.915 (7 and 9 limit minimax) |
| 11/9 | 703.041 (11 limit minimax) |
| 75\128 | 703.125 |
| 18/13 | 703.220 (13 and 15 limit minimax) |
| 16/15 | 703.240 |
| 12/11 | 703.244 |
| 15/11 | 703.359 |
| 13/12 | 703.371 |
| 15/13 | 703.410 |
| 51\87 | 703.448 |
| 5/4 | 703.467 (5 limit minimax) |
| 11/10 | 703.500 |
| 13/10 | 703.522 |
| 11/8 | 703.542 |
| 16/13 | 703.564 |
| 13/11 | 703.597 |
| 18/17 | 703.726 (17 limit minimax) |
| 17/15 | 703.748 |
| 78\133 | 703.759 |
| 6/5 | 703.791 |
| 20/17 | 703.894 |
| 24/17 | 703.956 |
| 17/16 | 704.257 |
| 10/9 | 704.292 |
| 27\46 | 704.348 |
| 14/11 | 704.377 |