Porcupine family: Difference between revisions
-diamond monotone and tradeoff (trivially derivable and lack of significance); misc. cleanup |
m →Hedgehog: link to echidnic which is theoretically important |
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== Hedgehog == | == Hedgehog == | ||
{{See also| Echidnic }} | |||
{{See also| Sensamagic clan }} | {{See also| Sensamagic clan }} | ||
{{See also| Stearnsmic clan }} | {{See also| Stearnsmic clan }} | ||
Hedgehog has a period 1/2 octave and a generator which can be taken to be 9/7 instead of 10/9. It also tempers out [[245/243]], the sensamagic comma. 22edo provides the obvious tuning, but if you are looking for an alternative, you could try the {{val| 146 232 338 411 }} (146bccdd) val with generator 10\73, or you could try 164 cents if you are fond of round numbers. The 14-note mos gives scope for harmony while stopping well short of 22. | Hedgehog has a period 1/2 octave and a generator which can be taken to be 9/7 instead of 10/9. Hedgehog is in a certain sense a trivial version of [[echidnic]], which keeps the 11-odd-limit distinctly consistent and is the 58&80 temperament, which are the smallest and third-smallest EDOs with that property; echidnic has the generator accurately as 11/10 and a period minus it as 9/7. It also tempers out [[245/243]], the sensamagic comma. 22edo provides the obvious tuning, but if you are looking for an alternative, you could try the {{val| 146 232 338 411 }} (146bccdd) val with generator 10\73, or you could try 164 cents if you are fond of round numbers. The 14-note mos gives scope for harmony while stopping well short of 22. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||