243/242: Difference between revisions
Jump to navigation
Jump to search
We have simpler ratios like 11/9 and 27/22 to describe this comma |
No edit summary |
||
| Line 1: | Line 1: | ||
'''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048|apotome]] as well as the difference between [[11/9]] and [[27/22]]. Tempering it out leads to a form of [[rastmic temperaments|rastmic temperament]]. When not tempered out, the rastma behaves much as the 11-limit counterpart to the 5-limit's [[81/80|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones. | '''243/242''', otherwise known as the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] comma with a value of roughly 7.13912 [[cent|cents]]. It is significant in Just Intonation as the amount by which a stack of two [[33/32]] quartertones falls short of an [[2187/2048|apotome]] as well as the difference between [[11/9]] and [[27/22]]. Tempering it out leads to a form of '''[[rastmic temperaments|rastmic temperament]]'''. When not tempered out, the rastma behaves much as the 11-limit counterpart to the 5-limit's [[81/80|syntonic comma]] – a property that becomes especially apparent when one works extensively with 33/32 quartertones. | ||
[[Category:11-limit]] | [[Category:11-limit]] | ||
Revision as of 13:54, 7 October 2020
243/242, otherwise known as the rastma or the neutral third comma, is an 11-limit comma with a value of roughly 7.13912 cents. It is significant in Just Intonation as the amount by which a stack of two 33/32 quartertones falls short of an apotome as well as the difference between 11/9 and 27/22. Tempering it out leads to a form of rastmic temperament. When not tempered out, the rastma behaves much as the 11-limit counterpart to the 5-limit's syntonic comma – a property that becomes especially apparent when one works extensively with 33/32 quartertones.