14842edo

This page presents a novelty topic. It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks.

This page is a stub. You can help the Xenharmonic Wiki by expanding it.

← 14841edo

14842edo

14843edo →

Prime factorization	2 × 41 × 181
Step size	0.0808516 ¢
Fifth	8682\14842 (701.954 ¢) (→ 4341\7421)
Semitones (A1:m2)	1406:1116 (113.7 ¢ : 90.23 ¢)
Consistency limit	41
Distinct consistency limit	41

14842edo is a remarkable very high-limit system, consistent through the 41-odd-limit distinctly, tempering out 17918/17917, 45696/45695, 53505/53504, 55056/55055, 57970/57967, 60516/60515, 64125/64124, 76875/76874, 81549/81548, 101270/101269, 250976/250971, and 444000/443989.

In light of being a multiple of 41, it tempers out the niobium comma and is a tuning for the associated rank-2 temperament.

Prime harmonics

Approximation of prime harmonics in 14842edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0011	-0.0046	+0.0193	+0.0094	+0.0060	-0.0100	+0.0210	+0.0237	-0.0124	-0.0147
	Relative (%)	+0.0	-1.3	-5.7	+23.8	+11.6	+7.4	-12.3	+26.0	+29.3	-15.4	-18.2
Steps (reduced)		14842 (0)	23524 (8682)	34462 (4778)	41667 (11983)	51345 (6819)	54922 (10396)	60666 (1298)	63048 (3680)	67139 (7771)	72102 (12734)	73530 (14162)