1525edo: Difference between revisions

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{{novelty}}{{stub}}{{Infobox ET}}
{{Infobox ET}}
The '''1525 equal divisions of the octave''', or the 1525-tone equal temperament (1525tet), 1525 equal temperament (1525et) when viewed from a regular temperament perspective, divides the octave into 1525 equal parts of about 0.787 cents each.
The '''1525 equal divisions of the octave''', or the 1525-tone equal temperament (1525tet), 1525 equal temperament (1525et) when viewed from a regular temperament perspective, divides the octave into 1525 equal parts of about 0.787 cents each.



Revision as of 06:54, 9 July 2023

← 1524edo 1525edo 1526edo →
Prime factorization 52 × 61
Step size 0.786885 ¢ 
Fifth 892\1525 (701.902 ¢)
Semitones (A1:m2) 144:115 (113.3 ¢ : 90.49 ¢)
Consistency limit 9
Distinct consistency limit 9

The 1525 equal divisions of the octave, or the 1525-tone equal temperament (1525tet), 1525 equal temperament (1525et) when viewed from a regular temperament perspective, divides the octave into 1525 equal parts of about 0.787 cents each.

Theory

This system apparently is at its best in the 2.3.5.19 subgroup.


Approximation of prime harmonics in 1525edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.053 +0.047 -0.170 +0.289 -0.134 -0.300 -0.070 -0.340 -0.331 -0.118
Relative (%) +0.0 -6.8 +6.0 -21.6 +36.7 -17.1 -38.1 -8.9 -43.2 -42.1 -14.9
Steps
(reduced)
1525
(0)
2417
(892)
3541
(491)
4281
(1231)
5276
(701)
5643
(1068)
6233
(133)
6478
(378)
6898
(798)
7408
(1308)
7555
(1455)