Diaschismic family: Difference between revisions
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* Srutal adds {{monzo| 21 -15 0 1 }}. It does no significant tuning damage, so for that we keep the 5-limit label srutal. | * Srutal adds {{monzo| 21 -15 0 1 }}. It does no significant tuning damage, so for that we keep the 5-limit label srutal. | ||
* Keen adds 2240/2187. | * Keen adds 2240/2187. | ||
* Echidna [[1728/1715]], the orwellisma. | * Bidia adds [[3136/3125]], the hemimean comma. | ||
* Shrutar [[245/243]], the sensamagic comma. | * Echidna adds [[1728/1715]], the orwellisma. | ||
* Shrutar adds [[245/243]], the sensamagic comma. | |||
Pajara, diaschismic, srutal and keen keep the same | Pajara, diaschismic, srutal and keen keep the same half-octave period and fifth generator, but shrutar has a generator of a quarter-tone (which can be taken as [[36/35]], the septimal quarter-tone) and echidna has a generator of 9/7. Bidia has a quarter-octave period and a fifth generator. | ||
== Srutal == | == Srutal == | ||
{{see also| Srutal vs diaschismic }} | |||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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== Diaschismic == | == Diaschismic == | ||
{{see also| Srutal vs diaschismic }} | |||
A simpler characterization than the one given by the normal comma list is that diaschismic adds [[126/125]] or [[5120/5103]] to the set of commas, and it can also be called 46&58. However described, diaschismic has a 1/2 period and a sharp fifth generator like pajara, but not so sharp, giving a more accurate but more complex temperament. [[58edo]] provides an excellent tuning, but an alternative is to make [[7/4]] just by making the fifth 703.897 cents, as opposed to 703.448 cents for 58edo. | A simpler characterization than the one given by the normal comma list is that diaschismic adds [[126/125]] or [[5120/5103]] to the set of commas, and it can also be called 46&58. However described, diaschismic has a 1/2 period and a sharp fifth generator like pajara, but not so sharp, giving a more accurate but more complex temperament. [[58edo]] provides an excellent tuning, but an alternative is to make [[7/4]] just by making the fifth 703.897 cents, as opposed to 703.448 cents for 58edo. | ||
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[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Rank 2]] | [[Category:Rank 2]] | ||