81/80: Difference between revisions
add tempering considerations |
add relations to other 5-limit intervals |
||
| Line 14: | Line 14: | ||
[[Monroe Golden]]'s ''Incongruity'' uses just-intonation chord progressions that exploit this comma<ref>[http://untwelve.org/interviews/golden UnTwelve's interview to Monroe Golden]</ref>. | [[Monroe Golden]]'s ''Incongruity'' uses just-intonation chord progressions that exploit this comma<ref>[http://untwelve.org/interviews/golden UnTwelve's interview to Monroe Golden]</ref>. | ||
== Relations to other 5-limit intervals == | |||
[[81/80]] is the difference between a large number of intervals of the 5-limit, so that if tempered, it simplifies the structure of the 5-limit drastically. For some differences in higher limits, see [[#Relations to other superparticular ratios]]. A few important ones are that 81/80 is: | |||
* The amount by which [[2187/2048]] exceeds [[135/128]]. | |||
* The amount by which [[25/24]] exceeds [[250/243]]). | |||
* The amount by which [[135/128]] exceeds [[25/24]]. | |||
* The amount by which [[128/125]] exceeds [[2048/2025]]. | |||
* The amount by which [[27/25]] exceeds [[16/15]]. | |||
* The amount by which [[16/15]] exceeds [[256/243]]. | |||
== Temperaments == | == Temperaments == | ||