6th-octave temperaments: Difference between revisions
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[[6edo]] is called the whole tone scale, therefore 6th-octave temperaments include various temperaments where the period is an interval classified as a "tone". | [[6edo]] is called the whole tone scale, therefore 6th-octave temperaments include various temperaments where the period is an interval classified as a "tone". | ||
== Spoob (rank-4) == | == Spoob (rank-4) == | ||
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: mapping generators: ~55/49 = 1\6, ~5, ~7 | : mapping generators: ~55/49 = 1\6, ~5, ~7 | ||
{{Navbox fractional-octave}} | |||
[[Category:6edo]] | [[Category:6edo]] | ||
[[Category:Temperament collections]] | [[Category:Temperament collections]] | ||
Revision as of 01:47, 4 December 2024
6edo is called the whole tone scale, therefore 6th-octave temperaments include various temperaments where the period is an interval classified as a "tone".
Spoob (rank-4)
Spoob temperament is named after an emoji on Xenharmonic Discord and is defined by associating the werckismic tone 55/49 with 1/6th of the octave.
Subgroup: 2.3.5.7.11
Comma list: 27682574402/27680640625
Mapping: [⟨6 0 0 0 1], ⟨0 1 0 0 0], ⟨0 0 1 0 -1], ⟨0 0 0 1 2]]
- mapping generators: ~55/49 = 1\6, ~3, ~5, ~7
Supporting ETs: 6, 12, 72, 78, 84, 126, 240, 342, 612, 1236, 1506, 1578, 1848, 1920, 2190, 3426
2.5.7.11 spoob
Subgroup: 2.5.7.11
Comma list: 27682574402/27680640625
Subgroup-val mapping: [⟨6 0 0 1], ⟨0 1 0 -1], ⟨0 0 1 2]]
- mapping generators: ~55/49 = 1\6, ~5, ~7