26th-octave temperaments: Difference between revisions
generator isn't necessarily P5 or 3/2, important to note (although both existing examples only use that generator) |
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{{ | {{Technical data page}} | ||
{{Infobox fractional-octave|26}} | |||
All temperaments on this page have a period that is [[Fractional-octave temperaments|1/26th of an octave]]. However, the {{monzo| -41 26 }} comma is not tempered out. Thus the 3/2 is not that of [[26edo]]. However, 7/4 is, as is 11/8 in the Bosonic temperaments. | All temperaments on this page have a period that is [[Fractional-octave temperaments|1/26th of an octave]]. However, the {{monzo| -41 26 }} comma is not tempered out. Thus the 3/2 is not that of [[26edo]]. However, 7/4 is, as is 11/8 in the Bosonic temperaments. | ||
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|546]] EDO). | 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|546]] EDO). | ||
== Bosonic == | == Bosonic == | ||
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Mapping generators: ~36/35, ~3 | Mapping generators: ~36/35, ~3 | ||
[[POTE generator]]: ~3/2 = 701.250 | [[POTE generator]]: ~3/2 = 701.250 | ||
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{{Optimal ET sequence|legend=1|130, 364, 494, 624}}, ... | {{Optimal ET sequence|legend=1|130, 364, 494, 624}}, ... | ||
{{Navbox fractional-octave}} | |||
[[Category:26edo]] | [[Category:26edo]] | ||