26th-octave temperaments: Difference between revisions
- bosonic (more properly addressed in varunismic temps) |
correct the "26-comma is not tempered out" - it is by definition also a 26th-octave tempereament, even if a bad one, and document with corresponding style while acknowledging how innacurate it is Tag: Reverted |
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{{Technical data page}} | {{Technical data page}} | ||
{{Infobox fractional-octave|26}} | {{Infobox fractional-octave|26}} | ||
All temperaments on this page have a period that is 1/26th of an octave | All temperaments on this page have a period that is 1/26th of an octave. | ||
26edo is very accurate for 7th harmonic, the [[26-7-comma]] ({{monzo| 73 0 0 -26 }}, the amount by which 26 septimal whole tones ([[8/7]]) exceed 5 octaves) is tempered out by 26-fold multiple edos up to 1456 (such as [[26edo|26-]], [[130edo|130-]], [[286edo|286-]] or [[546edo|546edo]]). | 26edo is very accurate for 7th harmonic, the [[26-7-comma]] ({{monzo| 73 0 0 -26 }}, the amount by which 26 septimal whole tones ([[8/7]]) exceed 5 octaves) is tempered out by 26-fold multiple edos up to 1456 (such as [[26edo|26-]], [[130edo|130-]], [[286edo|286-]] or [[546edo|546edo]]). | ||
Temperaments discussed elsewhere include [[varunismic temperaments #Bosonic|bosonic]]. Considered below is | Temperaments discussed elsewhere include [[varunismic temperaments #Bosonic|bosonic]]. Considered below are 26-commatic and iron. | ||
== 26-commatic == | |||
{{Mathematical interest}} | |||
The 26-commatic temperament tempers out the [[26-comma]], {{monzo|-41 26}}. 26edo is notable for having a flattone fifth, and due to large error, 26edo and its double, [[52edo]], are the only temperaments tempering out this comma. Hence it primarily serves as an object of mathematical interest. | |||
Subgroup: 2.3 | |||
Comma list: {{monzo|-41 26}} | |||
{{mapping|legend=2| 37 28 }} | |||
: mapping generators: ~2187/2048 = 1\26 | |||
[[Support]]ing [[ET]]s: {{EDOs|26, 52}} | |||
== Iron == | == Iron == | ||