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| 1/4-comma meantone, open-ended | Monzo, Joe | 1/4-comma meantone helix, in 3,5-primespace, open-ended, using single unison-vector: syntonic-comma, 81/80 [-4 4, -1> |
| 1/4-comma meantone, open-ended, 3-5-space | Monzo, Joe | 1/4-comma meantone chain, open-ended, in 3,5-primespace; single unison-vector: syntonic-comma 81/80 [-4 4, -1> |
| 12-edo - 3,5-space - TM-basis | Monzo, Joe | 12-edo as 12-et, in 3,5-primespace, TM-basis using unison-vectors: 1) syntonic comma, 81/80 [-4 4, -1> 2) diesis, 128/125 [7 0, -3> |
| 12-edo in 3,5,7,11-primespace, as described by Schoenberg 1911 | Monzo, Joe | 12-edo in 3,5,7,11-primespace, as described by Schoenberg 1911; basis: unison-vectors ([-5 2, 2 -1 0> , [-4 4, -1 0 0> , [6 -2, 0 -1 0> , [-5 1, 0 0 1>) = (septimal-kleisma, syntonic-comma, septimal-comma, undecimal-comma) |
| 12-et, 3-space | Monzo, Joe | 12-edo as 12-et, in 3-space; single unison-vector: pythagorean-comma [-19 12, > |
| 12-tone JI, 3,5-primespace, TM-basis | Monzo, Joe | 12-tone just-intonation, in 3,5-primespace, TM-basis: unison-vectors ([-4 4, -1> , [7 0, -3>) (syntonic-comma, diesis) |
| 12-tone JI, 3-space | Monzo, Joe | 12-tone just-intonation, in 3-space; single unison-vector: pythagorean-comma [-19 12,> |
| 17-tone JI, 3-space | Monzo, Joe | 17-tone just-intonation, in 3-primespace; single unison-vector: pythagorean-comma [-19 12,> |
| 19-edo - 3,5-space - TM-basis | Monzo, Joe | 19-edo as 19-et, in 3,5-primespace, TM-basis using unison-vectors: 1) syntonic comma, 81/80 [-4 4, -1> 2) magic comma, 3125/3072 [-10 -1, 5> |
| 31-edo - 3,5-space - TM-basis | Monzo, Joe | 31-edo as 31-et, in 3,5-space, TM-basis using unison-vectors: 1) syntonic comma 81/80 [-4 4, -1> 2) würschmidt comma 393216/390625 [17 1, -8> |
| 31-edo in 3,5,7,11-primespace, TM-basis | Monzo, Joe | 31-edo as 31-et, in 3,5,7,11-primespace, TM-basis: unison-vectors ([4 0, -2 -1 1> , [-3 -1, -1 0 2> , [-1 2, 0 -2 1> , [-4 4, -1 0 0>) |
| 31-edo, 3,5,7-primespace, TM-basis | Monzo, Joe | 31-edo as 31-et, in 3,5,7-primespace, TM-basis: ([-5 2, 2, -1> , [6 3, -1 -3> , [-4 4, -1 0>) |
| 72-edo in 3,5,7,11-primespace, TM-basis | Monzo, Joe | 72-edo as 72-et, in 3,5,7,11-primespace, TM-basis: unison-vectors ([-3 4, -2 -2 2> , [2 3, 1 -2 -1> , [-3 2, -1 2 -1> , [-5 2, 2 -1 0>) |
| porcupine, open-ended, 3,5-space | Monzo, Joe | porcupine temperament, open-ended, in 3,5-primespace; single unison-vector: maximal-diesis [1 -5, 3> |