4131/4096: Difference between revisions
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m +another name |
m size 5 digits |
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| Line 3: | Line 3: | ||
| Ratio = 4131/4096 | | Ratio = 4131/4096 | ||
| Monzo = -12 5 0 0 0 0 1 | | Monzo = -12 5 0 0 0 0 1 | ||
| Cents = 14. | | Cents = 14.73041 | ||
| Name = septendecimal comma | | Name = septendecimal comma | ||
| Color name = | | Color name = | ||
Revision as of 14:24, 24 September 2020
| Interval information |
reduced harmonic
The septendecimal comma or Hunt flat 2 comma, 4131/4096, is a 17-limit comma measuring about 14.7 cents. It is the amount by which 17/16 deviates from 256/243.
Besides the relationship above, it is also the difference between 18/17 and 2187/2048, between 17/12 and 1024/729, and their respective inverses. Furthermore, it and the septendecimal schisma 2187/2176 make a Pythagorean comma.
The septendecimal comma is significant in Functional Just System as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as a minor second. In Helmholtz-Ellis notation (2020 version), however, that role is taken by 2187/2176, so 17/16 is represented as an augmented unison.