2025/2023: Difference between revisions
Just found another relationship that' |
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The '''fidesma''' is an [[unnoticeable comma|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]]. | The '''fidesma''' is an [[unnoticeable comma|unnoticeable]] 17-limit (specifically 3.5.7.17-[[subgroup]]) [[comma]] with a ratio of '''2025/2023''', the difference between two [[17/15]] wide wholetones and a [[9/7]] supermajor third. Measuring about 1.7{{cent}}, it is an [[unnoticeable comma]]. It is the [[superpyth]] counterpart of [[1445/1444]], tempered out in any scale where the 5th is sharp enough that two of them approximates 17/15 and four 9/7, most notably [[22edo]], which is very close to quarter comma superpyth. However, the fidesma can be conceptualized in other ways, such as being the amount by which two instances of [[18/17]] exceed [[28/25]]. | ||
It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention | It factors into ([[1701/1700]])([[2500/2499]]), and in the 23-limit, ([[2024/2023]])([[2025/2024]]), hinting at an extension of fidesmic to the 2.3.5.7.11.17.23 subgroup. No music is known to have been composed in this temperament to date, but it may receive some attention during 2025. | ||
== Temperaments == | == Temperaments == | ||