Diaschismic rank-3 family: Difference between revisions
Cmloegcmluin (talk | contribs) link for mapping to lattice |
+rank-3 diaschismic |
||
| Line 1: | Line 1: | ||
These are the rank-3 temperaments tempering out the [[diaschisma]], 2048/2025. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. | These are the rank-3 temperaments tempering out the [[diaschisma]], 2048/2025. If nothing else is tempered out we have a 7-limit planar temperament, with an 11-limit comma we get an 11-limit temperament, and so forth. | ||
== Rank-3 diaschismic == | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: [[2048/2025]] | |||
[[Mapping]]: [{{val| 2 0 11 0 }}, {{val| 0 1 -2 0 }}, {{val| 0 0 0 1 }}] | |||
Mapping generators: ~45/32, ~3, ~7 | |||
[[POTE generator]]s: ~3/2 = 704.8982, ~7/4 = 972.1330 | |||
{{Val list|legend=1| 10, 12, 22, 34d, 46, 58, 68, 80, 126, 206cd, 332bccd }} | |||
[[Badness]]: 0.442 × 10<sup>-3</sup> | |||
== Julius aka varda == | == Julius aka varda == | ||
| Line 6: | Line 21: | ||
[[Comma list]]: 176/175, 896/891 | [[Comma list]]: 176/175, 896/891 | ||
[[Mapping]]: [{{val| 2 0 11 0 14 }}, {{val| 0 1 -2 0 -4 }}, {{val| 0 0 0 1 1 | [[Mapping]]: [{{val| 2 0 11 0 14 }}, {{val| 0 1 -2 0 -4 }}, {{val| 0 0 0 1 1 }}] | ||
[[Mapping to lattice]]: [{{val| 0 1 -2 2 -2 }}, {{val| 0 0 0 -1 -1 }}] | [[Mapping to lattice]]: [{{val| 0 1 -2 2 -2 }}, {{val| 0 0 0 -1 -1 }}] | ||