1554edo: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
BudjarnLambeth (talk | contribs)
mNo edit summary
Adopt template: EDO intro; mark stub
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
The '''1554 equal divisions of the octave''', or the 1554-tone equal temperament (1554tet), 1554 equal temperament (1554et) when viewed from a regular temperament perspective, divides the octave into 1554 equal parts of about 0.772 cents each.
{{EDO intro|1554}}


== Theory ==
== Theory ==
Line 7: Line 7:
{{Harmonics in equal|1554}}
{{Harmonics in equal|1554}}


[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
 
{{Stub}}

Revision as of 05:15, 24 September 2023

← 1553edo 1554edo 1555edo →
Prime factorization 2 × 3 × 7 × 37
Step size 0.772201 ¢ 
Fifth 909\1554 (701.931 ¢) (→ 303\518)
Semitones (A1:m2) 147:117 (113.5 ¢ : 90.35 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

Theory

This system apparently is at its best in the 2.3.11.17 subgroup.


Approximation of prime harmonics in 1554edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.024 -0.213 +0.286 +0.033 -0.373 +0.064 -0.216 +0.297 -0.234 +0.138
Relative (%) +0.0 -3.2 -27.6 +37.0 +4.3 -48.3 +8.3 -27.9 +38.5 -30.2 +17.9
Steps
(reduced)
1554
(0)
2463
(909)
3608
(500)
4363
(1255)
5376
(714)
5750
(1088)
6352
(136)
6601
(385)
7030
(814)
7549
(1333)
7699
(1483)


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