1920edo: Difference between revisions
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The '''1920 division''' divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], only [[1578edo|1578]] and [[1889edo|1889]] are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for [[Interval_size_measure|interval size measure]]. | The '''1920 division''' divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], only [[1578edo|1578]] and [[1889edo|1889]] are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for [[Interval_size_measure|interval size measure]]. | ||
Revision as of 22:13, 4 October 2022
| ← 1919edo | 1920edo | 1921edo → |
The 1920 division divides the octave into 1920 equal parts of exactly 0.625 cents each. It is distinctly consistent through the 25 limit, and in terms of 23-limit relative error, only 1578 and 1889 are both smaller and with a lower relative error. In the 29-limit, only 1578 beats it, and in the 31, 37, 41, 43 and 47 limits, nothing beats it. Because of this and because it is a highly composite number divisible by 12, it is another candidate for interval size measure.
1920 = 2^7 * 3 * 5; some of its divisors are 10, 12, 15, 16, 24, 60, 80, 96, 128, 240, 320 and 640.