Hemipyth: Difference between revisions
→Temperament interpretations: Add baldur, flip harry's period, add note about rank. |
m →Temperament interpretations: Added table for sqrt(2) |
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Above contorted tunings don't have a ~√2 period with a ~√3 generator, but introduce further splits. Higher than rank-2 temperaments introduce further structure that goes beyond basic hemipyth. | Above contorted tunings don't have a ~√2 period with a ~√3 generator, but introduce further splits. Higher than rank-2 temperaments introduce further structure that goes beyond basic hemipyth. | ||
Some possible interpretations for ~√2 are: | |||
{| class="wikitable" | |||
|+ Higher-prime interpretations of √2 | |||
|- | |||
! Temperament !! ~√2 !! contorted !! rank-2 | |||
|- | |||
| [[diaschismic]] || ~45/32 || no || yes (2.3.5) | |||
|- | |||
| [[jubilismic]] || ~7/5 || no || yes (2.5.7) | |||
|- | |||
| [[kalismic]] || ~99/70 || no || no | |||
|- | |||
| [[semitonismic]] || ~17/12 || no || yes (2.3.17) | |||
|} | |||