800edt

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← 799edt 800edt 801edt →
Prime factorization 25 × 52
Step size 2.37744 ¢ 
Octave 505\800edt (1200.61 ¢) (→ 101\160edt)
Consistency limit 3
Distinct consistency limit 3

800 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 800edt or 800ed3), is a nonoctave tuning system that divides the interval of 3/1 into 800 equal parts of about 2.38 ¢ each. Each step represents a frequency ratio of 31/800, or the 800th root of 3.

800edt supports Izar.

Harmonics

Approximation of prime harmonics in 800edt
Harmonic 2 3 5 7 11 13 17 19 23
Error Absolute (¢) +0.61 +0.00 +0.05 +0.01 -0.30 +0.54 -0.29 -0.27 -0.57
Relative (%) +25.6 +0.0 +2.1 +0.5 -12.7 +22.6 -12.2 -11.5 -24.0
Steps
(reduced)
505
(505)
800
(0)
1172
(372)
1417
(617)
1746
(146)
1868
(268)
2063
(463)
2144
(544)
2283
(683)
Approximation of odd harmonics in 800edt
Harmonic 25 27 29 31 33 35 37 39 41 43 45
Error Absolute (¢) +0.10 +0.00 -0.09 +0.95 -0.30 +0.06 -1.04 +0.54 -0.45 +0.30 +0.05
Relative (%) +4.2 +0.0 -3.6 +40.0 -12.7 +2.6 -43.9 +22.6 -19.1 +12.6 +2.1
Steps
(reduced)
2344
(744)
2400
(0)
2452
(52)
2501
(101)
2546
(146)
2589
(189)
2629
(229)
2668
(268)
2704
(304)
2739
(339)
2772
(372)
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