Tendoartisma: Difference between revisions
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FilterNashi (talk | contribs) Created page with "{{Infobox Interval | Monzo = -6 -11 -17 0 0 17 | Name = Tendoartisma | Color name = sasa-sethogu 8ve, ss17(3o)17gM | Comma = yes }} '''Tendoartisma''' is a 13-limit or 2.3.5.13 subgroup comma. It's the difference between a stack of six 3/2 pure fifths and a stack of seventeen 15/13<nowiki>s</nowiki>. ==Temperaments== Tempering it out in 2.3.5.13 subgroup leads to the '''tendoartic''' temperament, and '''tendoartismic''' in full 13-limit...." |
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==Temperaments== | ==Temperaments== | ||
[[Tempering]] it out in 2.3.5.13 subgroup leads to the '''tendoartic''' temperament, and '''tendoartismic''' in full 13-limit. Further [[retraction]] to the 2.3.13/5 [[fractional subgroup]] leads to the '''[[subgroup temperaments#Seventeen-cot|seventeen-cot]]''' temperament. Both tendoartic and seventeen-cot can [[extension|extend]] by tempering out [[225000/224939]] or [[43940/43923]] in larger subgroups. | [[Tempering]] it out in 2.3.5.13 subgroup leads to the '''tendoartic''' temperament, and '''tendoartismic''' in full 13-limit. Further [[retraction]] to the 2.3.13/5 [[fractional subgroup]] leads to the '''[[subgroup temperaments#Seventeen-cot|seventeen-cot]]''' temperament. Both tendoartic and seventeen-cot can [[extension|extend]] by tempering out [[225000/224939]] or [[43940/43923]] in larger subgroups. | ||
==Etymology== | |||
Named by [[User:FilterNashi|FilterNashi]] in 2026 after the '''[[arto and tendo theory]]''' aka '''extraclassical tonality''' theory. | |||
==See also== | |||
* [[Unnoticeable comma]] | |||
Latest revision as of 06:15, 25 June 2026
| Interval information |
Tendoartisma is a 13-limit or 2.3.5.13 subgroup comma. It's the difference between a stack of six 3/2 pure fifths and a stack of seventeen 15/13s.
Temperaments
Tempering it out in 2.3.5.13 subgroup leads to the tendoartic temperament, and tendoartismic in full 13-limit. Further retraction to the 2.3.13/5 fractional subgroup leads to the seventeen-cot temperament. Both tendoartic and seventeen-cot can extend by tempering out 225000/224939 or 43940/43923 in larger subgroups.
Etymology
Named by FilterNashi in 2026 after the arto and tendo theory aka extraclassical tonality theory.