Subgroup temperaments: Difference between revisions
→Tridecimal guanyintet: note |
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{{Optimal ET sequence|legend=1| 6, 23def, 29f, 35, 41, 47 }} | {{Optimal ET sequence|legend=1| 6, 23def, 29f, 35, 41, 47 }} | ||
== 2.3.25 subgroup == | |||
=== Shrub === | |||
This is a restriction of diaschismic which omits the tritone to produce a diatonic scale. True to its name, it generates a [[shrubmajor]] third (~425c) in quarter-comma tuning. | |||
Subgroup: 2.3.25 | |||
Edo join: 17 & 12 | |||
Comma list: [[2048/2025]] | |||
{{Mapping|legend=2| 1 1 7| 0 1 -4}} | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 705.136 | |||
==== 2.3.23.25.41 subgroup ==== | |||
''See also: [[Reversed meantone]]'' | |||
Edo join: 17 & 12 | |||
Comma list: 2048/2025, 576/575, 82/81 | |||
{{Mapping|legend=2| 1 1 1 7 3| 0 1 6 -4 4}} | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 705.264 | |||
===== Sburb ===== | |||
This temperament sets the 413th harmonic (octave-reduced) to the diminished seventh. | |||
Subgroup: 2.3.7.23.25.41.59 | |||
Edo join: 17 & 12 | |||
Comma list: 64/63, 225/224, 162/161, 82/81, 177/175 | |||
{{Mapping|legend=2| 1 1 4 1 7 3 10| 0 1 -2 6 -4 4 -7}} | |||
Optimal tuning (CTE): ~2 = 1\1, ~3/2 = 706.387 | |||
== 2.9.5.11 subgroup == | == 2.9.5.11 subgroup == | ||