Hemififths
Gencom: [2 11/9; 144/143 196/195 243/242 364/363]
Gencom map: [<1 1 -5 -1 2 4|, <0 2 25 13 5 -1|]
Interval Chain
| # | Cents* | Approximate Ratios |
|---|---|---|
| 0 | 0.000 | 1/1 |
| 1 | 351.477 | 11/9~27/22 |
| 2 | 702.955 | 3/2 |
| 3 | 1054.432 | 11/6 |
| 4 | 205.910 | 9/8 |
| 5 | 557.387 | 11/8 |
| 6 | 908.865 | 27/16 |
| 7 | 60.342 | 33/32~28/27 |
| 8 | 411.819 | 14/11~81/64~80/63 |
| 9 | 763.297 | 14/9 |
| 10 | 1114.774 | 21/11~40/21 |
| 11 | 266.252 | 7/6 |
| 12 | 617.729 | 10/7 |
| 13 | 969.206 | 7/4 |
| 14 | 120.684 | 15/14 |
| 15 | 472.161 | 21/16 |
| 16 | 823.639 | 45/28 |
| 17 | 1175.116 | 63/32~160/81 |
| 18 | 326.594 | 40/33 |
| 19 | 678.071 | 40/27 |
| 20 | 1029.549 | 20/11 |
| 21 | 181.026 | 10/9 |
| 22 | 532.503 | 15/11 |
| 23 | 883.981 | 5/3 |
| 24 | 35.458 | 45/44~55/54 |
| 25 | 386.936 | 5/4 |
*in 7-limit POTE tuning
Spectrum of Hemififths Tunings by Eigenmonzos
| Eigenmonzo | Neutral Third |
|---|---|
| 11/9 | 347.408 |
| 12/11 | 349.788 |
| 7\24 | 350.000 |
| 11/8 | 350.264 |
| 4/3 | 350.978 |
| 12\41 | 351.220 |
| 15/14 | 351.389 |
| 16/15 | 351.417 |
| 41\140 | 351.429 |
| 8/7 | 351.448 (7, 9 and 11 limit hemif minimax) |
| 5/4 | 351.453 (5, 7, 9 and 11 limit minimax) |
| 7/5 | 351.457 |
| 6/5 | 351.494 |
| 29\99 | 351.515 |
| 7/6 | 351.534 |
| 10/9 | 351.543 |
| 9/7 | 351.657 |
| 15/11 | 351.680 |
| 15/13 | 351.705 (15 limit minimax) |
| 17\58 | 351.724 |
| 11/10 | 351.750 |
| 13/10 | 351.761 (13 limit minimax) |
| 13/11 | 351.798 (13 and 15 limit hemif minimax) |
| 22\75 | 352.000 |
| 14/13 | 352.021 |
| 14/11 | 352.188 |
| 18/13 | 352.676 |
| 13/12 | 353.809 |
| 16/13 | 359.472 |