1216/1215: Difference between revisions
m Moving from Category:Unnoticeable comma to Category:Unnoticeable commas using Cat-a-lot |
m Normalising usage of Infobox Interval |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = password, Eratosthenes' comma | |||
| Comma = yes | |||
| Name = password, | |||
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}} | }} | ||
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* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
[[Category:Eratosthenes]] | [[Category:Eratosthenes]] | ||
Revision as of 14:04, 25 October 2022
| Interval information |
Eratosthenes' comma
reduced
1216/1215, the password or Eratosthenes' comma, is a 19-limit (also 2.3.5.19 subgroup) unnoticeable comma. It is the amount by which 19/15 exceeds the Pythagorean major third (81/64), or 20/19 falls short of the Pythagorean minor second (256/243). It is also the difference between 19/18, the undevicesimal semitone and 135/128, the major chroma, and in addition, between the septendecimal kleisma and the nusu comma, between the go comma and the undevicesimal comma, and between the undevicesimal comma and the schisma.
By tempering it out is defined the eratosthenes temperament, which enables the eratosthenes chords. EDOs supporting this temperament includes 12, 29, 41, 53, 65, 77, 87, 94, 99, 106, 111, 118, 130, 140, 152, 159, 183, 193, 205, 217, 270, 282, 311, 323, 364, 400, 422, 581, and 692.