Sensi extensions
Sensi temperament has various extensions to the 11-limit. These are all members of the sensipent family, but in addition they are linear temperaments.
Tuning Spectra
Spectrum of sensor tunings by eigenmonzos
Gencom: [2 9/7; 91/90 126/125 169/168 385/384]
Gencom map: [⟨1 -1 -1 -2 9 0], ⟨0 7 9 13 -15 10]]
| Eigenmonzo | Supermajor Third | Comments |
|---|---|---|
| 9/7 | 435.084 | |
| 15/14 | 439.814 | |
| 18/13 | 440.846 | |
| 15/13 | 441.290 | |
| 6/5 | 442.179 | |
| 14/13 | 442.766 | |
| 5/4 | 442.924 | 5-odd-limit minimax |
| 16/15 | 443.017 | |
| 11/10 | 443.125 | |
| 15/11 | 443.127 | |
| 4/3 | 443.136 | 15-odd-limit minimax |
| 11/9 | 443.193 | |
| 12/11 | 443.211 | |
| 11/8 | 443.245 | |
| 14/11 | 443.482 | 11-odd-limit minimax |
| 10/9 | 443.519 | 9- and 13-odd-limit minimax |
| 13/11 | 443.568 | |
| 8/7 | 443.756 | 7-odd-limit minimax |
| 16/13 | 444.053 | |
| 7/6 | 444.478 | |
| 7/5 | 445.628 | |
| 13/12 | 446.191 | |
| 13/10 | 454.214 |
Spectrum of sensis tunings by eigenmonzos
Gencom: [2 9/7; 56/55 78/77 91/90 100/99]
Gencom map: [⟨1 -1 -1 -2 2 0], ⟨0 7 9 13 4 10]]
| Eigenmonzo | Supermajor Third | Comments |
|---|---|---|
| 9/7 | 435.084 | |
| 11/8 | 437.829 | |
| 15/14 | 439.814 | |
| 18/13 | 440.846 | |
| 15/13 | 441.290 | |
| 6/5 | 442.179 | |
| 14/13 | 442.766 | |
| 5/4 | 442.924 | 5-odd-limit minimax |
| 16/15 | 443.017 | |
| 4/3 | 443.136 | |
| 10/9 | 443.519 | 9-odd-limit minimax |
| 8/7 | 443.756 | 7- and 11-odd-limit minimax |
| 16/13 | 444.053 | 13- and 15-odd-limit minimax |
| 7/6 | 444.478 | |
| 15/11 | 444.746 | |
| 11/9 | 445.259 | |
| 7/5 | 445.628 | |
| 13/12 | 446.191 | |
| 14/11 | 446.390 | |
| 11/10 | 446.999 | |
| 13/11 | 448.202 | |
| 12/11 | 450.212 | |
| 13/10 | 454.214 |
Spectrum of sensus tunings by eigenmonzos
Gencom: [2 9/7; 91/90 126/125 169/168 352/351]
Gencom map: [⟨1 -1 -1 -2 -8 0], ⟨0 7 9 13 31 10]]
| Eigenmonzo | Supermajor Third | Comments |
|---|---|---|
| 9/7 | 435.084 | |
| 15/14 | 439.814 | |
| 18/13 | 440.846 | |
| 15/13 | 441.290 | |
| 6/5 | 442.179 | |
| 14/13 | 442.766 | |
| 5/4 | 442.924 | 5-odd-limit minimax |
| 16/15 | 443.017 | |
| 4/3 | 443.136 | |
| 13/11 | 443.371 | |
| 14/11 | 443.472 | |
| 10/9 | 443.519 | 9-odd-limit minimax |
| 11/8 | 443.591 | |
| 12/11 | 443.723 | |
| 8/7 | 443.756 | 7- and 11-odd-limit minimax |
| 11/10 | 443.864 | |
| 11/9 | 443.965 | |
| 16/13 | 444.053 | 13- and 15-odd-limit minimax |
| 15/11 | 444.203 | |
| 7/6 | 444.478 | |
| 7/5 | 445.628 | |
| 13/12 | 446.191 | |
| 13/10 | 454.214 |
Spectrum of sensa tunings by eigenmonzos
Gencom: [2 9/7; 55/54 66/65 77/75 143/140]
Gencom map: [⟨1 -1 -1 -2 -1 0], ⟨0 7 9 13 12 10]]
| Eigenmonzo | Supermajor Third | Comments |
|---|---|---|
| 14/11 | 417.508 | |
| 11/9 | 426.296 | |
| 15/11 | 434.238 | |
| 9/7 | 435.084 | |
| 15/14 | 439.814 | |
| 18/13 | 440.846 | |
| 15/13 | 441.290 | |
| 6/5 | 442.179 | |
| 14/13 | 442.766 | |
| 5/4 | 442.924 | 5-odd-limit minimax |
| 16/15 | 443.017 | |
| 4/3 | 443.136 | |
| 10/9 | 443.519 | 9-odd-limit minimax |
| 8/7 | 443.756 | 7- and 11-odd-limit minimax |
| 16/13 | 444.053 | 13- and 15-odd-limit minimax |
| 7/6 | 444.478 | |
| 7/5 | 445.628 | |
| 11/8 | 445.943 | |
| 13/12 | 446.191 | |
| 12/11 | 449.873 | |
| 13/10 | 454.214 | |
| 11/10 | 455.001 | |
| 13/11 | 455.395 |