Quartonic family: Difference between revisions
Cleanup. Review the optimal ET sequences for 5- and 7-limit quartonic |
+a note on an extra comma tempered out by septimal quartonic. Fix grammar. |
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The '''quartonic family''' of [[regular temperament|temperaments]] [[tempering out| | The '''quartonic family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[quartonic comma]], {{monzo| 3 -18 11 }} = 390625000/387420489. | ||
== Quartonic == | == Quartonic == | ||
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=== Overview to extensions === | === Overview to extensions === | ||
The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at. | The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at. | ||
* [[1728/1715]] or [[4000/3969]] gives septimal quartonic, with interpretation of the generator ~36/35. | * [[1728/1715]] or [[4000/3969]] gives septimal quartonic, with interpretation of the generator ~36/35. It also tempers out [[4375/4374]]. | ||
* [[Hemimage comma|10976/10935]] gives yarman I (80 & 159) and slices the quartonic generator in three. | * [[Hemimage comma|10976/10935]] gives yarman I (80 & 159) and slices the quartonic generator in three. | ||
* 5359375/5308416 gives yarman II (79 & 159) and slices the quartonic generator in three. | * 5359375/5308416 gives yarman II (79 & 159) and slices the quartonic generator in three. | ||