6th-octave temperaments

Fractional-octave temperaments

---

← 5th-octave • 6th-octave • 7th-octave →

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

Sval mapping: [⟨6 0 0 1], ⟨0 1 0 -1], ⟨0 0 1 2]]

mapping generators: ~55/49 = 1\6, ~5, ~7