Octaphore: Difference between revisions
m Fixed typo in generator list |
m Minor formatting changes for the temperaments section |
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{{Mapping|legend=1| 1 2 2 4 | 0 -8 0 -23 | 0 0 1 0 }} | {{Mapping|legend=1| 1 2 2 4 | 0 -8 0 -23 | 0 0 1 0 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.233, ~5/4 = 386.314 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.233, ~5/4 = 386.314 | ||
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===2.3.7 Unicorn=== | ===2.3.7 Unicorn=== | ||
{{See also | Unicorn }} | {{See also | Unicorn }} | ||
If we temper the octaphore in its minimal prime subgroup of 2.3.7, we get the 2.3.7-subgroup version of [[unicorn]] | If we temper the octaphore in its minimal prime subgroup of 2.3.7, we get the 2.3.7-subgroup version of [[unicorn]]: | ||
[[Subgroup]]: 2.3.7 | [[Subgroup]]: 2.3.7 | ||
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{{Mapping|legend=1| 1 2 4 | 0 -8 -23 }} | {{Mapping|legend=1| 1 2 4 | 0 -8 -23 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.233 | [[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.233 | ||
{{Optimal ET sequence|legend=1| 19, 20d, 39d, 58, 77, 96d, 135 }} | {{Optimal ET sequence|legend=1| 19, 20d, 39d, 58, 77, 96d, 135 }} | ||
==== Septimal Unicorn ==== | |||
By noticing that the interval at five generators is nearly [[6/5]], we can introduce prime 5 to the mapping by tempering out [[126/125]]. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 10976/10935, 126/125 | |||
{{Mapping|legend=1| 1 2 3 4| 0 -8 -13 -23 }} | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~28/27 = 62.324 | |||
{{Optimal ET sequence|legend=1| 19, 39d, 58, 77, 135c, 212c}} | |||
==See also== | ==See also== | ||