Xenharmonic Wiki

499edo: Difference between revisions

VisualWikitext
Francium (talk | contribs)
4,816 edits
Created page with "{{Infobox ET}} {{EDO intro|499}} == Theory == 499et tempers out 33554432/33480783, 359661568/358722675 and 2401/2400 in the 7-limit; 100663296/100656875, 2097152/2096..."
 
Francium (talk | contribs)
4,816 edits
m →Music: typo
 
(10 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|499}}
{{ED intro}}


== Theory ==
== Theory ==
499et tempers out [[33554432/33480783]], 359661568/358722675 and [[2401/2400]] in the 7-limit; 100663296/100656875, 2097152/2096325, [[536870912/535869675]], 151263/151250, 104857600/104825259, [[131072/130977]], [[200704/200475]], 17537553/17500000, [[19712/19683]], 1479016/1476225, [[3025/3024]], [[41503/41472]], [[532400/531441]] and 67110351/67108864 in the 11-limit.
499et tempers out [[33554432/33480783]], 359661568/358722675 and [[2401/2400]] in the 7-limit; 100663296/100656875, 2097152/2096325, [[536870912/535869675]], 151263/151250, 104857600/104825259, [[131072/130977]], [[200704/200475]], 17537553/17500000, [[19712/19683]], 1479016/1476225, [[3025/3024]], [[41503/41472]], [[532400/531441]], and 67110351/67108864 in the 11-limit.


=== 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|791 -499}}
! rowspan="2" | [[Comma list]]
|{{val|499 791}}
! rowspan="2" | [[Mapping]]
| -0.0787
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo|791 -499}}
| {{val|499 791}}
| −0.0787
| 0.0787
| 0.0787
| 3.27
| 3.27
|-
|-
|2.3.5
| 2.3.5
|{{monzo|32 -7 -9}}, {{monzo|1 36 -25}}
| {{monzo|32 -7 -9}}, {{monzo|1 36 -25}}
|{{val|499 791 1159}}
| {{val|499 791 1159}}
| -0.1760
| −0.1760
| 0.1519
| 0.1519
| 6.32
| 6.32
|-
|-
|2.3.5.7
| 2.3.5.7
|2401/2400, 1959552/1953125, 26873856/26796875
| 2401/2400, 1959552/1953125, 26873856/26796875
|{{val|499 791 1159 1401}}
| {{val|499 791 1159 1401}}
| -0.1598
| −0.1598
| 0.1345
| 0.1345
| 5.59
| 5.59
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
|133\499
| 23\499
|55.306
| 55.311
|16875/16384
| 16875/16384
|[[Escapade]]
| [[Escapade]]
|-
|-
|1
| 1
|126\499
| 126\499
|303.006
| 303.006
|25/21
| 25/21
|[[Quinmite]]
| [[Quinmite]]
|-
|-
|1
| 1
|146\499
| 146\499
|351.102
| 351.102
|49/40
| 49/40
|[[Newt]]
| [[Newt]]
|-
|-
|1
| 1
|178\499
| 178\499
|428.056
| 428.056
|2800/2187
| 2800/2187
|[[Osiris]]
| [[Osiris]]
|}
|}
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
== Music ==
; [[Francium]]
* "still not desperate enough" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/4BkTyDG9JO2vRKrtta3iwz Spotify] | [https://francium223.bandcamp.com/track/still-not-desperate-enough Bandcamp] | [https://www.youtube.com/watch?v=nTYClZbsH4k YouTube]
* "Dumping Thickness" from ''Check Us Out'' (2026) – [https://open.spotify.com/track/5ytxIITz1HVR81FPaxZF78 Spotify] | [https://francium223.bandcamp.com/track/dumping-thickness Bandcamp] | [https://www.youtube.com/watch?v=saRSyUZwEZ0 YouTube]


<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/499edo"