4375/4374: Difference between revisions
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the reason behind this equivalence becomes pretty obvious when analysed with S-expressions although it relies on the mysterious fact that (25/24)/(28/27) = (15/14)/(16/15) |
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'''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> * S26) and a [[marvel comma]] (S15 = S25 * S26 * S27), hence its expression as S25 / S27. | '''4375/4374''', the '''ragisma''', being the difference between a stack of two [[27/25|large limmas]] and [[7/6]], is a [[7-limit]] [[unnoticeable comma]]. It is the smallest 7-limit [[superparticular]] ratio. It is tempered out in [[ragismic microtemperaments]]. 4375/4374 is also equal to ([[25/18]])<sup>2</sup>/([[27/14]]) and the difference between a [[kleisma]] (S25<sup>2</sup> * S26) and a [[marvel comma]] (S15 = S25 * S26 * S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = [[7/6]])/([[27/25]])<sup>2</sup>. | ||
== See also == | == See also == | ||
Revision as of 23:26, 3 April 2023
| Interval information |
Zoquadyo comma
reduced
4375/4374, the ragisma, being the difference between a stack of two large limmas and 7/6, is a 7-limit unnoticeable comma. It is the smallest 7-limit superparticular ratio. It is tempered out in ragismic microtemperaments. 4375/4374 is also equal to (25/18)2/(27/14) and the difference between a kleisma (S252 * S26) and a marvel comma (S15 = S25 * S26 * S27), hence its expression as S25 / S27 which directly implies it can be expressed as (28/24 = 7/6)/(27/25)2.
See also
- Ragismic family – the rank-3 family where it is tempered out
- Ragismic microtemperaments – a collection of rank-2 temperaments where it is tempered out
- Unnoticeable comma
- List of superparticular intervals