109-7-comma: Difference between revisions
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Created page with "{{Infobox Interval |Monzo = -306 0 0 109 |Name = 109-7-comma |Comma = yes |Color name = L<sup>16</sup>z<sup>109</sup>39 }} '''109-7-comma''' is the interval which represents..." |
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'''109-7-comma''' is the interval which represents a closed circle of 109 [[7/1|7th harmonics]] with 306 octaves, or alternately, 109 [[7/4]] septimal minor sevenths with the octave. It is notable because of [[109edo]] being a denominator to [[semiconvergent]] for log<sub>2</sub>7. | '''109-7-comma''' is the interval which represents a closed circle of 109 [[7/1|7th harmonics]] with 306 octaves, or alternately, 109 [[7/4]] septimal minor sevenths with the octave. It is notable because of [[109edo]] being a denominator to [[semiconvergent]] for log<sub>2</sub>7. | ||
== Temperaments == | == Temperaments == | ||
Tempering it out maps [[7/4]] into 88\109, that is 88 steps of 109edo. Aside from 109edo, it is tempered out by high-limit systems such as [[436edo]] and [[981edo]]. | Tempering it out maps [[7/4]] into 88\109, that is 88 steps of 109edo. Aside from 109edo, it is tempered out by high-limit systems such as [[436edo]] and [[981edo]]. | ||
[[Category:Commas named systematically]] | |||
Latest revision as of 09:08, 3 November 2024
| Interval information |
reduced harmonic
109-7-comma is the interval which represents a closed circle of 109 7th harmonics with 306 octaves, or alternately, 109 7/4 septimal minor sevenths with the octave. It is notable because of 109edo being a denominator to semiconvergent for log27.
Temperaments
Tempering it out maps 7/4 into 88\109, that is 88 steps of 109edo. Aside from 109edo, it is tempered out by high-limit systems such as 436edo and 981edo.