408edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Plumtree (talk | contribs)
m Infobox ET added
BudjarnLambeth (talk | contribs)
mNo edit summary
Line 1: Line 1:
{{Infobox ET}}
{{novelty}}{{stub}}{{Infobox ET}}
408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for [[Logarithmic_approximants#Argent_temperament|Argent Temperament]], following after [[169edo]], [[70edo]], [[29edo]] and [[12edo]]. It's factors are 2^3, 3 & 17.
{{Primes in edo|408|columns=11}}
{{Primes in edo|408|columns=11}}


[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->

Revision as of 05:56, 9 July 2023

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.
← 407edo 408edo 409edo →
Prime factorization 23 × 3 × 17
Step size 2.94118 ¢ 
Fifth 239\408 (702.941 ¢)
Semitones (A1:m2) 41:29 (120.6 ¢ : 85.29 ¢)
Dual sharp fifth 239\408 (702.941 ¢)
Dual flat fifth 238\408 (700 ¢) (→ 7\12)
Dual major 2nd 69\408 (202.941 ¢) (→ 23\136)
Consistency limit 3
Distinct consistency limit 3

408edo divides the octave into 408 steps of 2.9411 cents. It is inconsistent in the 5-limit, and mainly notable for being the optimal patent val for Argent Temperament, following after 169edo, 70edo, 29edo and 12edo. It's factors are 2^3, 3 & 17. Script error: No such module "primes_in_edo".