203edt

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← 202edt203edt204edt →
Prime factorization 7 × 29
Step size 9.36924¢ 
Octave 128\203edt (1199.26¢)
Consistency limit 5
Distinct consistency limit 5

203 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 203edt or 203ed3), is a nonoctave tuning system that divides the interval of 3/1 into 203 equal parts of about 9.37 ¢ each. Each step represents a frequency ratio of 31/203, or the 203rd root of 3.

Harmonics

Approximation of harmonics in 203edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -0.74 +0.00 -1.48 -3.65 -0.74 +4.10 -2.21 +0.00 -4.39 -0.75 -1.48
Relative (%) -7.9 +0.0 -15.7 -39.0 -7.9 +43.8 -23.6 +0.0 -46.8 -8.0 -15.7
Steps
(reduced)
128
(128)
203
(0)
256
(53)
297
(94)
331
(128)
360
(157)
384
(181)
406
(0)
425
(19)
443
(37)
459
(53)
Approximation of harmonics in 203edt
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +0.49 +3.36 -3.65 -2.95 +4.52 -0.74 -0.65 +4.24 +4.10 -1.48 -3.49
Relative (%) +5.2 +35.9 -39.0 -31.5 +48.3 -7.9 -6.9 +45.3 +43.8 -15.8 -37.2
Steps
(reduced)
474
(68)
488
(82)
500
(94)
512
(106)
524
(118)
534
(128)
544
(138)
554
(148)
563
(157)
571
(165)
579
(173)