162edt

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← 161edt162edt163edt →
Prime factorization 2 × 34
Step size 11.7405¢ 
Octave 102\162edt (1197.53¢) (→17\27edt)
Consistency limit 7
Distinct consistency limit 7

162 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 162edt or 162ed3), is a nonoctave tuning system that divides the interval of 3/1 into 162 equal parts of about 11.7 ¢ each. Each step represents a frequency ratio of 31/162, or the 162nd root of 3.

Harmonics

Approximation of harmonics in 162edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -2.47 +0.00 -4.95 -3.82 -2.47 +0.69 +4.32 +0.00 +5.44 +4.81 -4.95
Relative (%) -21.1 +0.0 -42.1 -32.6 -21.1 +5.9 +36.8 +0.0 +46.4 +40.9 -42.1
Steps
(reduced)
102
(102)
162
(0)
204
(42)
237
(75)
264
(102)
287
(125)
307
(145)
324
(0)
340
(16)
354
(30)
366
(42)
Approximation of harmonics in 162edt
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -2.63 -1.79 -3.82 +1.85 +2.56 -2.47 -2.15 +2.97 +0.69 +2.33 -4.18
Relative (%) -22.4 -15.2 -32.6 +15.8 +21.8 -21.1 -18.3 +25.3 +5.9 +19.9 -35.6
Steps
(reduced)
378
(54)
389
(65)
399
(75)
409
(85)
418
(94)
426
(102)
434
(110)
442
(118)
449
(125)
456
(132)
462
(138)