6th-octave temperaments: Difference between revisions
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{{ | {{Technical data page}} | ||
{{Infobox fractional-octave|6}} | |||
[[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". | ||
Temperaments discussed elsewhere include [[sextile]] and [[semiterm]]. | |||
== Spoob (rank-4) == | == 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. | [[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. | ||
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[[Support]]ing [[ET]]s: {{EDOs|6, 12, 72, 78, 84, 126, 240, 342, 612, 1236, 1506, 1578, 1848, 1920, 2190, 3426}} | [[Support]]ing [[ET]]s: {{EDOs|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 | |||
{{mapping|legend=2|6 0 0 1|3=0 1 0 -1|4=0 0 1 2}} | |||
: mapping generators: ~55/49 = 1\6, ~5, ~7 | |||
{{Navbox fractional-octave}} | |||
[[Category:6edo]] | [[Category:6edo]] | ||
Latest revision as of 11:48, 15 April 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
6edo is called the whole tone scale, therefore 6th-octave temperaments include various temperaments where the period is an interval classified as a "tone".
Temperaments discussed elsewhere include sextile and semiterm.
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