3025/3024: Difference between revisions
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fixed a typo |
We can also say it's the diff between 121/120 and 126/125 |
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'''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[ | '''3025/3024''', the '''lehmerisma''', is an [[11-limit]] [[unnoticeable comma]] measuring about 0.57 cents. It is the difference between [[55/54]] and [[56/55]], between [[121/120]] and [[126/125]], between [[225/224]] and [[243/242]], and between [[385/384]] and [[441/440]], as well as the amount by which two [[12/11]] neutral seconds falls short of [[25/21]], the quasi-tempered minor third. | ||
Tempering it out leads to [[lehmerismic temperaments]], which splits [[28/27]] into two equal parts, each representing 55/54~56/55. | Tempering it out leads to [[lehmerismic temperaments]], which splits [[28/27]] into two equal parts, each representing 55/54~56/55. |
Revision as of 10:33, 25 December 2020
Interval information |
reduced
3025/3024, the lehmerisma, is an 11-limit unnoticeable comma measuring about 0.57 cents. It is the difference between 55/54 and 56/55, between 121/120 and 126/125, between 225/224 and 243/242, and between 385/384 and 441/440, as well as the amount by which two 12/11 neutral seconds falls short of 25/21, the quasi-tempered minor third.
Tempering it out leads to lehmerismic temperaments, which splits 28/27 into two equal parts, each representing 55/54~56/55.
It factors into two superparticular commas: 4375/4374 × 9801/9800.