Porcupine family: Difference between revisions

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Hedgehog has a period 1/2 octave and a generator which can be taken to be 9/7 instead of 10/9. Note that hedgehog is in a certain sense a trivial version of [[~~echidnic~~]] (as hedgehog's only patent val EDO tuning is [[22edo]]) 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; echidna has the generator accurately as 11/10 and a period minus it as 9/7. Back to hedgehog: 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. Note that hedgehog is in a certain sense a trivial version of [[echidna]] (as hedgehog's only patent val EDO tuning is [[22edo]]) 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; echidna has the generator accurately as 11/10 and a period minus it as 9/7. Back to hedgehog: 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

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 {{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. Note that hedgehog is in a certain sense a trivial version of [[echidnic]] (as hedgehog's only patent val EDO tuning is [[22edo]]) 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; echidna has the generator accurately as 11/10 and a period minus it as 9/7. Back to hedgehog: 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. Note that hedgehog is in a certain sense a trivial version of [[echidna]] (as hedgehog's only patent val EDO tuning is [[22edo]]) 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; echidna has the generator accurately as 11/10 and a period minus it as 9/7. Back to hedgehog: 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