Rodan
See Gamelismic clan #Rodan for more information.
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
Primes harmonics are in bold.
| # | 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
Chords
Scales
Spectrum of Rodan Tunings by Eigenmonzos
| Eigenmonzo | Fifth | Comments |
|---|---|---|
| 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-odd-limit minimax |
| 11/9 | 703.041 | 11-odd-limit minimax |
| (75\128) | 703.125 | |
| 18/13 | 703.220 | 13- and 15-odd-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-odd-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-odd-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 |