1ed25/24

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← 0ed25/24 1ed25/24 2ed25/24 →
Prime factorization n/a
Step size 70.6724¢ 
Octave 17\1ed25/24 (1201.43¢)
Twelfth 27\1ed25/24 (1908.16¢)
Consistency limit 4
Distinct consistency limit 1
Special properties

1 equal division of 25/24 (1ed25/24), also known as ambitonal sequence of 25/24 (AS25/24) or 25/24 equal-step tuning, is the scale of integer multiples of the 25/24 third tone, and corresponds to 17edo with the octave stretched by 1.4314 cents.

Harmonics

1ed25/24 offers a good approximation of the no-5s 13-limit, and of the no-5s no-17s 23-limit.

Approximation of prime harmonics in 1ed25/24
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +1.4 +6.2 -30.1 +23.5 +18.4 +11.8 -28.6 -9.1 +13.5 -34.4 -8.6
Relative (%) +2.0 +8.8 -42.6 +33.2 +26.0 +16.7 -40.4 -12.9 +19.1 -48.7 -12.1
Step 17 27 39 48 59 63 69 72 77 82 84
(contd.)
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) -32.2 +2.1 -9.7 -22.3 -18.3 +8.1 +21.0 -0.0 -29.8 -7.2 -2.6
Relative (%) -45.5 +3.0 -13.7 -31.6 -25.9 +11.4 +29.8 -0.1 -42.1 -10.2 -3.7
Step 88 91 92 94 97 100 101 103 104 105 107