243/242: Difference between revisions
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'''243/242''', | {{Infobox Interval | ||
| Icon = | |||
| Ratio = 243/242 | |||
| Monzo = -1 5 0 0 -2 | |||
| Cents = 7.13912 | |||
| Name = rastma, <br>neutral third comma | |||
| Color name = | |||
| FJS name = A1<sub>121</sub> | |||
| Sound = | |||
}} | |||
'''243/242''', the '''rastma''' or the '''neutral third comma''', is an [[11-limit]] (also 2.3.11 subgroup) comma with a value of roughly 7.1 [[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]], and, the difference between [[45/44]] and [[55/54]]. Tempering it out leads to a form of '''[[rastmic temperaments|rastmic temperament]]''' or '''neutral temperament'''. When not tempered out, the rastma behaves much like an 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. | |||
== See also == | == See also == | ||
Revision as of 06:22, 8 October 2020
| Interval information |
neutral third comma
reduced
243/242, the rastma or the neutral third comma, is an 11-limit (also 2.3.11 subgroup) comma with a value of roughly 7.1 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, and, the difference between 45/44 and 55/54. Tempering it out leads to a form of rastmic temperament or neutral temperament. When not tempered out, the rastma behaves much like an 11-limit counterpart to the 5-limit's syntonic comma – a property that becomes especially apparent when one works extensively with 33/32 quartertones.