Xenharmonic Wiki

593edo: Difference between revisions

VisualWikitext
Francium (talk | contribs)
4,621 edits
Created page with "{{Infobox ET}} {{EDO intro|593}} == Theory == 593et is consistent to the 9-odd-limit. It tempers out 4375/4374, 52734375/52706752 and 3276800000/3268642167 in the..."
 
Francium (talk | contribs)
4,621 edits
m changed EDO intro to ED intro
 
(10 intermediate revisions by 4 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|593}}
{{ED intro}}


== Theory ==
== Theory ==
593et is [[consistent]] to the [[9-odd-limit]]. It tempers out [[4375/4374]], 52734375/52706752 and 3276800000/3268642167 in the 7-limit, [[support]]ing [[speric]], [[garischismic]], [[decovulture]], [[septimal vulture]] and [[squarschmidt]].  
593edo is [[consistent]] to the [[9-odd-limit]]. The equal temperament [[tempering out|tempers out]] [[4375/4374]], [[33554432/33480783]], 52734375/52706752, and 67108864/66976875 in the 7-limit. It [[support]]s [[vulture]] and [[squarschmidt]]. It is also notable in the 2.3.5.7.17 [[subgroup]], tempering out [[2500/2499]].  


=== Prime harmonics ===
=== Prime harmonics ===
Line 13: Line 13:
== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! 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
! rowspan="2" | [[Subgroup]]
|{{monzo|940 -593}}
! rowspan="2" | [[Comma list]]
|{{mapping|593 940}}
! rowspan="2" | [[Mapping]]
| -0.0748
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo| 940 -593 }}
| {{mapping| 593 940 }}
| −0.0748
| 0.0748
| 0.0748
| 3.70
| 3.70
|-
|-
|2.3.5
| 2.3.5
|{{monzo|24 -21 4}}, {{monzo|37 25 -33}}
| {{monzo| 24 -21 4 }}, {{monzo| 37 25 -33 }}
|{{mapping|593 940 1377}}
| {{mapping| 593 940 1377 }}
| -0.0780
| −0.0780
| 0.0613
| 0.0613
| 3.03
| 3.03
|-
|-
|2.3.5.7
| 2.3.5.7
|4375/4374, 52734375/52706752, 3276800000/3268642167
| 4375/4374, 33554432/33480783, 52734375/52706752
|{{mapping|593 940 1377 1665}}
| {{mapping| 593 940 1377 1665 }}
| -0.1015
| −0.1015
| 0.0669
| 0.0669
| 3.31
| 3.31
Line 46: Line 47:
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+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
|-
|-
|1
| 1
|196\593
| 196\593
|396.63
| 396.63
|98304/78125
| 98304/78125
|[[Squarschmidt]]
| [[Squarschmidt]]
|-
|-
|1
| 1
|215\593
| 215\593
|435.08
| 435.08
|9/7
| 9/7
|[[Supermajor]]
| [[Supermajor]]
|-
|-
|1
| 1
|235\593
| 235\593
|475.55
| 475.55
|320/243
| 320/243
|[[Vulture]]
| [[Vulture]]
|-
|-
|1
| 1
|277\593
| 246\593
|560.54
| 497.81
|864/625
| 4/3
|[[Whoosh]]
| [[Gary]]
|-
| 1
| 277\593
| 560.54
| 864/625
| [[Whoosh]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
== Music ==
; [[Francium]]
* "theshocks" from ''albumwithoutspaces'' (2024) &ndash; [https://open.spotify.com/track/3EmJ9swIvLJ8NPLvT7qnV4 Spotify] | [https://francium223.bandcamp.com/track/theshocks Bandcamp] | [https://www.youtube.com/watch?v=fwgy5bpHh5U YouTube] &ndash; vulture[13] in 593edo tuning


<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/593edo"