547edo: Difference between revisions

Francium (talk | contribs)
m changed EDO intro to ED intro
Cleanup and update
Line 6: Line 6:


=== Prime harmonics ===
=== Prime harmonics ===
{{harmonics in equal|547}}
{{Harmonics in equal|547}}


=== Subsets and supersets ===
=== Subsets and supersets ===
Line 17: Line 17:
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Comma list]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | [[Mapping]]
! rowspan="2" | Optimal<br />8ve stretch (¢)
! rowspan="2" | Optimal<br>8ve stretch (¢)
! colspan="2" | Tuning error
! colspan="2" | Tuning error
|-
|-
Line 24: Line 24:
|-
|-
| 2.3
| 2.3
| {{monzo|867 -547}}
| {{Monzo| 867 -547 }}
| {{mapping|547 867}}
| {{Mapping| 547 867 }}
| −0.0177
| −0.0177
| 0.0177
| 0.0177
Line 31: Line 31:
|-
|-
| 2.3.5
| 2.3.5
| {{monzo|39 -29 3}}, {{monzo|-29 -11 20}}
| {{Monzo| 39 -29 3 }}, {{monzo| -29 -11 20 }}
| {{mapping|547 867 1270}}
| {{Mapping| 547 867 1270 }}
| +0.0180
| +0.0180
| 0.0525
| 0.0525
Line 39: Line 39:
| 2.3.5.7
| 2.3.5.7
| 4375/4374, 4096000/4084101, 23066015625/23018340352
| 4375/4374, 4096000/4084101, 23066015625/23018340352
| {{mapping|547 867 1270 1536}}
| {{Mapping| 547 867 1270 1536 }}
| −0.0601
| −0.0601
| 0.1428
| 0.1428
Line 49: Line 49:
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
|-
! Periods<br />per 8ve
! Periods<br>per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br />ratio*
! Associated<br>ratio*
! Temperaments
! Temperaments
|-
|-
Line 83: Line 83:
| 566.00
| 566.00
| 104/75
| 104/75
| [[Tricot]]
| [[Alphatrillium]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct


== Music ==
== Music ==