Xenharmonic Wiki

601edo: Difference between revisions

VisualWikitext
Francium (talk | contribs)
4,840 edits
Created page with "{{Infobox ET}} {{EDO intro|601}} == Theory == 601edo is only consistent to the 3-odd-limit and the error of the harmonic 3 is very large. It can be used i..."
 
ArrowHead294 (talk | contribs)
15,220 edits
mNo edit summary
 
(3 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|601}}
{{ED intro}}


== Theory ==
== Theory ==
601edo is only [[consistent]] to the [[3-odd-limit]] and the error of the [[harmonic]] [[3/1|3]] is very large. It can be used in the 2.9.7.11.13.19 [[subgroup]], [[tempering out]] [[41503/41472]], 104272/104247, [[10648/10647]], 388962/388531 and 10097379/10092544.
601edo is in[[consistent]] to the [[5-odd-limit]] and both [[harmonic]]s [[3/1|3]] and [[5/1|5]] are about halfway between its steps. It can be used in the 2.9.15.7.11.13.19 [[subgroup]], [[tempering out]] [[41503/41472]], 104272/104247, [[10648/10647]], 388962/388531 and 10097379/10092544.


=== Odd harmonics ===
=== Odd harmonics ===
Line 9: Line 9:


=== Subsets and supersets ===
=== Subsets and supersets ===
601edo is the 110th [[prime EDO]]. [[1202edo]], which doubles it, gives a good correction to the harmonics 3 and 5.
601edo is the 110th [[prime edo]]. [[1202edo]], which doubles it, gives a good correction to the harmonics 3 and 5.


== 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]] (%)
|-
|-
|2.9
! rowspan="2" | [[Subgroup]]
|{{monzo|-1905 601}}
! rowspan="2" | [[Comma list]]
|{{mapping|601 1905}}
! rowspan="2" | [[Mapping]]
| 0.0393
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.9
| {{monzo| -1905 601 }}
| {{mapping| 601 1905 }}
| +0.0393
| 0.0393
| 0.0393
| 1.97
| 1.97
|-
|-
|2.9.5
| 2.9.5
|32805/32768, {{monzo|-105 -65 134}}
| 32805/32768, {{monzo| -105 -65 134 }}
|{{mapping|601 1905 1395}}
| {{mapping| 601 1905 1395 }}
| 0.1635
| +0.1635
| 0.1785
| 0.1785
| 8.94
| 8.94
|-
|-
|2.9.5.7
| 2.9.5.7
|32805/32768, 68359375/68024448, {{monzo|-16 -5 -2 13}}
| 32805/32768, 68359375/68024448, {{monzo| -16 -5 -2 13 }}
|{{mapping|601 1905 1395 1687}}
| {{mapping| 601 1905 1395 1687 }}
| 0.1618
| +0.1618
| 0.1546
| 0.1546
| 7.74
| 7.74
|-
|-
|2.9.5.7.11
| 2.9.5.7.11
|6250/6237, 41503/41472, 32805/32768, 3294225/3294172
| 6250/6237, 41503/41472, 32805/32768, 3294225/3294172
|{{mapping|601 1905 1395 1687 2079}}
| {{mapping| 601 1905 1395 1687 2079 }}
| 0.1431
| +0.1431
| 0.1432
| 0.1432
| 7.17
| 7.17
|-
|-
|2.9.5.7.11.13
| 2.9.5.7.11.13
|1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197
| 1575/1573, 6250/6237, 41503/41472, 32805/32768, 2200/2197
|{{mapping|601 1905 1395 1687 2079 2224}}
| {{mapping| 601 1905 1395 1687 2079 2224 }}
| 0.1160
| +0.1160
| 0.1441
| 0.1441
| 7.22
| 7.22
|}
|}
== Music ==
; [[Francium]]
* "younothingbluck" from ''albumwithoutspaces'' (2024) – [https://open.spotify.com/track/3DSwkkzzAmrwnjHacqXfxl Spotify] | [https://francium223.bandcamp.com/track/younothingbluck Bandcamp] | [https://www.youtube.com/watch?v=bWNHr2sIPng YouTube] – stacks[19] in 601edo tuning
Retrieved from "https://en.xen.wiki/w/601edo"