79MOS 159edo

Original article by Ozan Yarman, on the Yahoo tuning forum, is quoted here.

My tuning scheme involves 33 equal divisions of the pure fourth.

1. [log (4/3) * 1200]/(log 2) divided by 33 = 15.092272701048866128954947492807 cents.

2. Carry the comma to the 79th step and you reach 1192.2895433828604241874408519317 cents.

3. Complete the octave to 1200 cents and move the 22.802729318188441941514095561079 cent comma between steps 45-46. You do this by key transposing the tuning to the -46th step.

Voila! You now have a circulating temperament which is practically a subset of 159-tET. There are three sizes of fifths by which one can formulate diatonical scales:

0: 1/1 C RAST

1: 15.092 cents C/

2: 30.185 cents C//

3: 45.277 cents C^ Db(

4: 60.369 cents C) Dbv

5: 75.461 cents C#\ Db\\

6: 90.554 cents C# Db\

7: 105.646 cents C#/ Db

8: 120.738 cents C#// Db/

9: 135.830 cents C#^ D(

10: 150.923 cents C#) Dv

11: 166.015 cents D\\

12: 181.107 cents D\

13: 196.200 cents D DUGAH

14: 211.292 cents D/ Dugah again

15: 226.384 cents D

16: 241.476 cents D^ Eb(

17: 256.569 cents D) Ebv

18: 271.661 cents D#\ Eb\\

19: 286.753 cents D# Eb\

20: 301.845 cents D#/ Eb

21: 316.938 cents D#// Eb/

22: 332.030 cents D#^ E(

23: 347.122 cents D#) Ev

24: 362.215 cents E\\

25: 377.307 cents E\ lower segah

26: 392.399 cents E SEGAH

27: 407.491 cents E/ Fb Buselik

28: 422.584 cents E Fb/ Nishabur

29: 437.676 cents E^ F(

30: 452.768 cents E) Fv

31: 467.860 cents E#\ F\\

32: 482.953 cents E# F\

33: 498.045 cents F CHARGAH

34: 513.137 cents F/

35: 528.230 cents F//

36: 543.322 cents F^ Gb(

37: 558.414 cents F) Gbv

38: 573.506 cents F#\ Gb\\

39: 588.599 cents F# Gb\

40: 603.691 cents F#/ Gb

41: 618.783 cents F#// Gb/

42: 633.875 cents F#^ G(

43: 648.968 cents F#) Gv

44: 664.060 cents G\\

45: 679.152 cents G\

46: 701.955 cents G NEVA

47: 717.047 cents G/

48: 732.140 cents G//

49: 747.232 cents G^ Ab(

50: 762.324 cents G) Abv

51: 777.416 cents G#\ Ab\\

52: 792.509 cents G# Ab\

53: 807.601 cents G#/ Ab

54: 822.693 cents G#// Ab/

55: 837.785 cents G#^ A(

56: 852.878 cents G#) Av

57: 867.970 cents A\\

58: 883.062 cents A\ Hisar

59: 898.155 cents A HUSEYNI/Hisarek

60: 913.247 cents A/ Huseyni again

61: 928.339 cents A//

62: 943.431 cents A^ Bb(

63: 958.524 cents A) Bbv

64: 973.616 cents A#\ Bb\\

65: 988.708 cents A# Bb\

66: 1003.800 cents A#/ Bb

67: 1018.893 cents A#// Bb/

68: 1033.985 cents A#^ B(

69: 1049.077 cents A#) Bv

70: 1064.170 cents B\\

71: 1079.262 cents B\

72: 1094.354 cents B EVDJ

73: 1109.446 cents B/ Cb Mahur

74: 1124.539 cents B// Cb/ Mahurek (my proposal)

75: 1139.631 cents B^ C(

76: 1154.723 cents B) Cv

77: 1169.815 cents B#\ C\\

78: 1184.908 cents B# C\

79: 1200.000 cents C GERDANIYE

Some degrees yield excellent 11 limit results, while others produce adorable 5 limit and sufficiently close 7 limit intervals.

I had implemented this tuning on my special Qanun, and also installed Wittner fine-tuners to the strings for accuracy of pitch. Although my hands are still numb from all that tuning, I am very pleased, and so are Qanun performers who were "unfortunate" enough to have met me.