547edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
|-
|2.3
| 2.3
|{{monzo|867 -547}}
| {{monzo|867 -547}}
|{{mapping|547 867}}
| {{mapping|547 867}}
| -0.0177
| -0.0177
| 0.0177
| 0.0177
| 0.81
| 0.81
|-
|-
|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
| 2.39
| 2.39
|-
|-
|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
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
|+Table of rank-2 temperaments by generator
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
|1
| 1
|16\547
| 16\547
|35.10
| 35.10
|1990656/1953125
| 1990656/1953125
|[[Gammic]]
| [[Gammic]]
|-
|-
|1
| 1
|51\547
| 51\547
|111.88
| 111.88
|16/15
| 16/15
|[[Vavoom]]
| [[Vavoom]]
|-
|-
|1
| 1
|101\547
| 101\547
|221.57
| 221.57
|8388608/7381125
| 8388608/7381125
|[[Fortune]]
| [[Fortune]]
|-
|-
|1
| 1
|105\547
| 105\547
|230.35
| 230.35
|8/7
| 8/7
|[[Gamera]]
| [[Gamera]]
|-
|-
|1
| 1
|258\547
| 258\547
|566.00
| 566.00
|104/75
| 104/75
|[[Tricot]]
| [[Tricot]]
|}
{{rank-2 end}}
 
{{orf}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


== Music ==
== Music ==
; [[Francium]]
; [[Francium]]
* "Activate!" from ''End Of Sartorius Membranes'' (2024) [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] | [https://francium223.bandcamp.com/track/activate Bandcamp] | [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
* "Activate!" from ''End Of Sartorius Membranes'' (2024) &ndash; [https://open.spotify.com/track/2mVV0wyzlDuuk5KZ1YP8QW Spotify] | [https://francium223.bandcamp.com/track/activate Bandcamp] | [https://www.youtube.com/watch?v=-Oxj8OOUW48 YouTube]
* "IT'S A LEG!" from ''CAPSLOCK'' (2024) [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] | [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] | [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] vavoom in 547edo tuning
* "IT'S A LEG!" from ''CAPSLOCK'' (2024) &ndash; [https://open.spotify.com/track/0oRlaPc8uFZz1Nbgtguh8n Spotify] | [https://francium223.bandcamp.com/track/its-a-leg Bandcamp] | [https://www.youtube.com/watch?v=-aQolexQwY4 YouTube] &ndash; vavoom in 547edo tuning


[[Category:Listen]]
[[Category:Listen]]