Very high accuracy temperaments: Difference between revisions

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Quectismic: 7-limit quectismic -> conanoquectismic since it doesn't deserve to be the canonical extension
Line 208: Line 208:
[[Badness]]: 0.372
[[Badness]]: 0.372


=== 7-limit ===
=== Nanoquectismic ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: {{monzo| 33 -26 12 -7 }}, {{monzo| -32 13 17 -10 }}
Comma list: 43046721/43025920, {{monzo| 82 -19 -3 -16 }}


Mapping: [{{val| 1 0 -554 -945 }}, {{val| 0 1 351 598 }}]
Mapping: [{{val| 1 0 -554 109 }}, {{val| 0 1 351 -67 }}]


Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.9548
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.955


{{Optimal ET sequence|legend=1| 306d, 359cd, 665 }}
{{Optimal ET sequence|legend=1| 306, 665, 1636, 2301, 2966 }}


Badness: 2.17
Badness: 0.604


=== Nanoquectismic ===
=== Conanoquectismic ===
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


Comma list: 43046721/43025920, {{monzo| 82 -19 -3 -16 }}
Comma list: {{monzo| 33 -26 12 -7 }}, {{monzo| -32 13 17 -10 }}


Mapping: [{{val| 1 0 -554 109 }}, {{val| 0 1 351 -67 }}]
Mapping: [{{val| 1 0 -554 -945 }}, {{val| 0 1 351 598 }}]


Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.955
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 701.9548


{{Optimal ET sequence|legend=1| 306, 665, 1636, 2301, 2966 }}
{{Optimal ET sequence|legend=1| 306d, 359cd, 665 }}


Badness: 0.604
Badness: 2.17


== Raider ==
== Raider ==