Cassaschismic: Difference between revisions

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Other rank-2 temperaments of cassaschismic include [[cotoneum]], [[gariwizmic]], [[newt]], [[satin]], and [[vulture]]; these temperaments, instead of tempering out the aberschisma, find it deep in the generator chain.

{{Databox|title=Generators needed to reach the aberschismas|contents=Newt finds it at -41 hemififths. Cotoneum finds it at +41 fifths. Gariwizmic finds it at +53 fifths minus a half pythagorean comma. Vulture finds it at -41 1/4~~-fifths. Heptacot finds it at +12 1/7~~-fifths. Satin finds it at -94 1/3-fourths.}}

{{Databox|title=Generators needed to reach the aberschismas|contents=Newt finds it at -41 hemififths. Cotoneum finds it at +41 fifths. Gariwizmic finds it at +53 fifths minus a half pythagorean comma. Vulture finds it at -41 1/4-fifths. Satin finds it at -94 1/3-fourths.}}

Cassaschismic is [[support]]ed by notable [[equal temperament]]s such as {{EDOs| 217, 270, 311, and 364 }}, where the aberschisma step is well represented by one edostep. It is also trivially supported by edos of cassandra, these being [[41edo|41]], [[53edo|53]], [[94edo|94]], and of course, [[12edo]] through the 12e [[val]], where both the comma step and the aberschisma step are tempered out, so it can be used in any of those forms as well.

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 Other rank-2 temperaments of cassaschismic include [[cotoneum]], [[gariwizmic]], [[newt]], [[satin]], and [[vulture]]; these temperaments, instead of tempering out the aberschisma, find it deep in the generator chain.
-{{Databox|title=Generators needed to reach the aberschismas|contents=Newt finds it at -41 hemififths.<br>Cotoneum finds it at +41 fifths.<br>Gariwizmic finds it at +53 fifths minus a half pythagorean comma.<br>Vulture finds it at -41 1/4-fifths.<br>Heptacot finds it at +12 1/7-fifths.<br>Satin finds it at -94 1/3-fourths.}}
+{{Databox|title=Generators needed to reach the aberschismas|contents=Newt finds it at -41 hemififths.<br>Cotoneum finds it at +41 fifths.<br>Gariwizmic finds it at +53 fifths minus a half pythagorean comma.<br>Vulture finds it at -41 1/4-fifths.<br>Satin finds it at -94 1/3-fourths.}}
 Cassaschismic is [[support]]ed by notable [[equal temperament]]s such as {{EDOs| 217, 270, 311, and 364 }}, where the aberschisma step is well represented by one edostep. It is also trivially supported by edos of cassandra, these being [[41edo|41]], [[53edo|53]], [[94edo|94]], and of course, [[12edo]] through the 12e [[val]], where both the comma step and the aberschisma step are tempered out, so it can be used in any of those forms as well.