10600edo: Difference between revisions

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Dividing the octave into 10600 equal parts gives a [[turkish cent]].
Dividing the octave into 10600 equal parts gives a [[turkish cent]].
{{Harmonics in equal|10600}}
{{Stub}}


[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->
[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->

Latest revision as of 01:23, 19 December 2025

← 10599edo 10600edo 10601edo →
Prime factorization 23 × 52 × 53
Step size 0.113208 ¢ 
Fifth 6201\10600 (702 ¢) (→ 117\200)
Semitones (A1:m2) 1007:795 (114 ¢ : 90 ¢)
Dual sharp fifth 6201\10600 (702 ¢) (→ 117\200)
Dual flat fifth 6200\10600 (701.887 ¢) (→ 31\53)
Dual major 2nd 1801\10600 (203.887 ¢)
Consistency limit 3
Distinct consistency limit 3

10600 equal divisions of the octave (abbreviated 10600edo or 10600ed2), also called 10600-tone equal temperament (10600tet) or 10600 equal temperament (10600et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 10600 equal parts of about 0.113 ¢ each. Each step represents a frequency ratio of 21/10600, or the 10600th root of 2.

Dividing the octave into 10600 equal parts gives a turkish cent.


Approximation of odd harmonics in 10600edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.0450 -0.0496 +0.0043 -0.0232 +0.0028 +0.0384 -0.0046 -0.0120 -0.0036 +0.0493 +0.0275
Relative (%) +39.7 -43.8 +3.8 -20.5 +2.5 +33.9 -4.0 -10.6 -3.2 +43.5 +24.3
Steps
(reduced)
16801
(6201)
24612
(3412)
29758
(8558)
33601
(1801)
36670
(4870)
39225
(7425)
41413
(9613)
43327
(927)
45028
(2628)
46559
(4159)
47950
(5550)
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