Turkish maqam music temperaments

This is a collection of some proposed temperaments for Turkish maqam music.

Yarman temperament

See also: Quartonic family

Ozan Yarman has proposed defining the tuning of Turkish maqam music using a mos of 79 or 80 notes out of 159. This means a generator of 2\159, which suggests the 19-limit mappings:

• [⟨1 2 3 2 4 4 4 5], ⟨0 -33 -54 64 -43 -24 7 -60]]
• [⟨1 2 3 4 4 4 4 5], ⟨0 -33 -54 -95 -43 -24 7 -60]]

The first mapping may be called 79 & 159 in terms of patent vals, and the second 80 & 159. In any event both mappings can be used inconsistently, and both temperaments are weak 7-limit extensions of quartonic temperament. A Pythagorean tuning, i.e. one with pure fifths, is also possible.

Karadeniz temperament

See also: Schismatic family #Garibaldi

K. E. Karadeniz proposed a 41-note mos with generator 31/106, giving a "hemigaribaldi" type of tuning, with an 11/9 neutral third generator. It is more plausible as an 11-limit system than 13-limit; the 13-limit wedgie is:

⟨⟨2 -16 -28 5 40 -30 -50 1 56 -20 67 152 111 216 120]]

which in the 11-limit becomes:

⟨⟨2 -16 -28 5 -30 -50 1 -20 67 111]]

It tempers out 225/224, 243/242, 3025/3024, 3125/3087, 4000/3969, and 5120/5103, and can also be called 41 & 106. Aside from 31/106, 43/147 or 74/253 can be recommended as generators.