3025/3024
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Ratio | 3025/3024 |
Monzo | [-4 -3 2 -1 2⟩ |
Size in cents | 0.57249 |
Name(s) | lehmerisma |
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3025/3024, the lehmerisma, is an 11-limit unnoticeable comma measuring about 0.57 ¢. 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.
It factors into two superparticular commas: 4375/4374 × 9801/9800.
Temperaments
Tempering it out leads to the lehmerismic temperament, which splits 28/27 into two equal parts, each representing 55/54~56/55. See Rank-4 temperament #Lehmerismic (3025/3024) for some technical details.
See also
- Rank-4 temperament #Lehmerismic (3025/3024)
- Lehmerismic temperaments, a collection of rank-3 temperaments where it is tempered out
- List of superparticular intervals