79335edo

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79335edo

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Prime factorization	32 × 5 × 41 × 43
Step size	0.0151257 ¢
Fifth	46408\79335 (701.955 ¢) (convergent)
Semitones (A1:m2)	7516:5965 (113.7 ¢ : 90.22 ¢)
Consistency limit	5
Distinct consistency limit	5

79335 equal divisions of the octave (abbreviated 79335edo or 79335ed2), also called 79335-tone equal temperament (79335tet) or 79335 equal temperament (79335et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 79335 equal parts of about 0.0151 ¢ each. Each step represents a frequency ratio of 2^1/79335, or the 79335th root of 2. It is the denominator of the next convergent for log₂3 past 31867, before 111202, and has a fifth which is about 7.9970873 × 10^-8 cents stretched.

79335edo has a consistency limit of only 5, though its performance in the 2.3.5.11.17.29 subgroup is admirable for a convergent.

Prime harmonics

Approximation of prime harmonics in 79335edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.00000	+0.00000	-0.00250	+0.00752	-0.00011	-0.00582	+0.00205	-0.00498	+0.00321	+0.00118	-0.00248
	Relative (%)	+0.0	+0.0	-16.5	+49.7	-0.7	-38.5	+13.5	-32.9	+21.2	+7.8	-16.4
Steps (reduced)		79335 (0)	125743 (46408)	184210 (25540)	222722 (64052)	274454 (36449)	293574 (55569)	324279 (6939)	337009 (19669)	358877 (41537)	385408 (68068)	393041 (75701)