Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited

türk-sent


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

    A türk-sent divides the 53edo 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:_. It is an irrational number. 0.072452830188679


    A türk-sent is

    • exactly 96/1325 (= 0.07245283 = ~ 1/14 ) of a hexamu.

    • exactly 5/53 (= ~ 0.09433962264 = ~ 1/11 ) of a milli8ve,

    • exactly 6/53 (= 0.113207547 = ~ 1/9 ) of a cent,

    • exactly 2 8903/10600 (= 2.83990566 = ~ 2 8/9 ) jots,

    • approximately 3 1/2 (= ~ 3.474398887 ) tuning units,

    • exactly 4 844/1325 (= 4.636981132 = ~ 4 2/3 ) dodekamus.

    • exactly 18 726/1325 (= 18.5479245283 = ~ 18 1/2 ) tetradekamus.


    The formula for calculating the türk-sent-value of any ratio is:

    türk-sents = log10(ratio) * [ ( 53 * 200 ) / log10(2) ]

    A türk-sent represents one degree of 10600-EDO tuning. The 12-EDO semitone is , or exactly _ türk-sents.


    [from Joe Monzo, JustMusic: A New Harmony]

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