7-limit tuning and intervals

Septimal semicomma

In music, the septimal semicomma, a seven-limit semicomma, is the ratio 126/125 and is equal to approximately 13.79 cents. It is also called the small septimal comma and the starling comma after its use in . Factored into primes it is: Or as simple just intervals: Thus it is the difference between three minor thirds of 6/5 plus a septimal minor third of 7/6 and an octave (2/1). This comma is important to certain tuning systems, such as septimal meantone temperament. A diminished seventh chord consisting of three minor thirds and a subminor third making up an octave is possible in such systems. This characteristic feature of these tuning systems is known as the septimal semicomma diminished seventh chord. (Wikipedia).

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19 equal temperament | 34 equal temperament | Septimal minor third | Cent (music) | 53 equal temperament | Semicomma | 41 equal temperament | 31 equal temperament | 22 equal temperament