Septimal kleisma

Septimal kleisma: B7 upside-down

In music, the ratio 225/224 is called the septimal kleisma (play).[1] It is a minute comma type interval of approximately 7.7 cents. Factoring it into primes gives 2−5 32 52 7−1, which can be rewritten 2−1 (5/4)2 (9/7). That says that it is the amount that two major thirds of 5/4 and a septimal major third, or supermajor third, of 9/7 exceeds the octave.

The septimal kleisma can also be viewed as the difference between the diatonic semitone (16:15) and the septimal diatonic semitone (15:14).

References

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  1. ^ Haluska, Jan (2003). The Mathematical Theory of Tone Systems. CRC Press. p. xxvii. ISBN 0-8247-4714-3.