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Encyclopedia of Microtonal Music Theory

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türk-sent

[Joe Monzo]

A very small unit of interval measurement for Turkish music, invented by M. Ekrem Karadeniz in 1965.

A türk-sent divides the 53-edo comma into 200 logarithmically equal parts. It therefore divides the octave into 53 * 200 = 10,600 equal parts.

The türk-sent is therefore calculated as the 10600th root of 2, or 2(1/10600), with a ratio of approximately 1:1.000065393. It is an irrational number.

A türk-sent is

The formula for calculating the türk-sent-value of any ratio r is: türk-sents = log10(r) * [ ( 53 * 200 ) / log10(2) ] or türk-sents = log2(r) * ( 53 * 200 )

A türk-sent represents one degree of 10600-edo tuning.

The 12-edo semitone is ~883.3333333 (exactly 883 1/3 ) türk-sents.

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türk-sents calculator

Ratio may be entered as fraction or floating-point decimal number.
(value must be greater than 1)

For EDOs (equal-temperaments), type: "a/b" (without quotes)
where "a" = EDO degree and "b" = EDO cardinality.
(value must be less than 1)

Enter ratio: = türk-sents

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