10600edo

← 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 2^1/10600, or the 10600th root of 2.

One step of 10600edo, or 1/100 step of 106edo, is known as the Turkish cent (Türk sent in Turkish), a term proposed by Abdülkadir Töre and Ekrem Karadeniz (links to Turkish Wikipedia).

Theory

Prime harmonics

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)

External links

• Türk-sent on Tonalsoft Encyclopedia
• Tabîatta mûsikî insanla birlikte doğduğu için mûsikînin başlangıcı hakkında araştırmalara girişecek değiliz (archived) (in Turkish language)