2187/2176: Difference between revisions
Created page with "{{Infobox Interval | JI glyph = | Ratio = 2187/2176 | Monzo = -7 7 0 0 0 0 -1 | Cents = 8.7296 | Name = septendecimal schisma | Color name = | FJS name = d-2<sub>17</sub> |..." |
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| Ratio = 2187/2176 | | Ratio = 2187/2176 | ||
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| Cents = 8. | | Cents = 8.72960 | ||
| Name = septendecimal schisma | | Name = septendecimal schisma | ||
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Revision as of 14:23, 24 September 2020
| Interval information |
The septendecimal schisma, 2187/2176, is a 17-limit comma measuring about 8.7 cents. Although several times in size, it shares similarities with the schisma – while the schisma is the amount by which 16/15 deviates from 2187/2048, the septendecimal schisma is the amount by which 17/16 deviates from 2187/2048.
Besides the relationship above, it is also the difference between 18/17 and 256/243, between 24/17 and 1024/729, and their respective inverses. Furthermore, it and the septendecimal comma 4131/4096 make a Pythagorean comma.
The septendecimal schisma is significant in Helmholtz-Ellis notation (2020 version) as the 17-limit formal comma which translates a Pythagorean interval to a nearby septendecimal interval. Consequently, 17/16 is represented as an augmented unison. In Functional Just System, however, that role is taken by 4131/4096, so 17/16 is represented as a minor second.