1287/1280: Difference between revisions
Jump to navigation
Jump to search
Added another way to get this comma Tags: Mobile edit Mobile web edit Advanced mobile edit |
mNo edit summary |
||
| Line 4: | Line 4: | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
'''1287/1280''', the '''catadictma''', is a [[13-limit]] [[small comma]]. It is the amount by which a stack consisting of [[16/11]] and [[16/13]] falls short of [[9/5]], or the comma that, when tempered out, has [[4/3]] equidistant between [[13/10]] and [[11/8]]. It can be factored into simpler commas as ([[351/350]])([[385/384]]), or as ([[225/224]])([[1001/1000]]). In terms of superparticulars, it is ([[33/32]])/([[40/39]]). By tempering it out is defined the '''catadictmic temperament''', which enables the [[catadictmic chords]]. Adding [[676/675]] lets you efficiently incorporate 11-limit harmony into [[barbados]] chords. | '''1287/1280''', the '''catadictma''', is a [[13-limit]] [[small comma]]. It is the amount by which a stack consisting of [[16/11]] and [[16/13]] falls short of [[9/5]], or the comma that, when tempered out, has [[4/3]] equidistant between [[13/10]] and [[11/8]]. It can be factored into simpler commas as ([[351/350]])([[385/384]]), or as ([[225/224]])([[1001/1000]]). In terms of superparticulars, it is ([[33/32]])/([[40/39]]) and ({{S|9}} = [[81/80]])/(S12 = [[144/143]]). By tempering it out is defined the '''catadictmic temperament''', which enables the [[catadictmic chords]]. Adding [[676/675]] lets you efficiently incorporate 11-limit harmony into [[barbados]] chords. | ||
== See also == | == See also == | ||
Latest revision as of 16:51, 18 July 2025
| Interval information |
Thologu comma
1287/1280, the catadictma, is a 13-limit small comma. It is the amount by which a stack consisting of 16/11 and 16/13 falls short of 9/5, or the comma that, when tempered out, has 4/3 equidistant between 13/10 and 11/8. It can be factored into simpler commas as (351/350)(385/384), or as (225/224)(1001/1000). In terms of superparticulars, it is (33/32)/(40/39) and (S9 = 81/80)/(S12 = 144/143). By tempering it out is defined the catadictmic temperament, which enables the catadictmic chords. Adding 676/675 lets you efficiently incorporate 11-limit harmony into barbados chords.