307edo - Revision history

ArrowHead294 at 12:42, 21 February 2025

2025-02-21T12:42:24Z

← Older revision		Revision as of 12:42, 21 February 2025
Line 15:		Line 15:
	== 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" \| [[Subgroup]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \|Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| [[Mapping]]
	! colspan="2" \|Tuning ~~Error~~		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	\|-		! colspan="2" \| Tuning error
			\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
Line 34:		Line 35:
	\| 32805/32768, {{monzo\| 2 47 -65 }}		\| 32805/32768, {{monzo\| 2 47 -65 }}
	\| {{mapping\|307 973 713 }}		\| {{mapping\|307 973 713 }}
	\| -0.0257		\| −0.0257
	\| 0.2004		\| 0.2004
	\| 5.13		\| 5.13
Line 41:		Line 42:
	\| 32805/32768, 118098/117649, 589824/588245		\| 32805/32768, 118098/117649, 589824/588245
	\| {{mapping\| 307 973 713 862 }}		\| {{mapping\| 307 973 713 862 }}
	\| -0.0687		\| −0.0687
	\| 0.1889		\| 0.1889
	\| 4.87		\| 4.87
Line 48:		Line 49:
	\| 5632/5625, 8019/8000, 32805/32768, 46656/46585		\| 5632/5625, 8019/8000, 32805/32768, 46656/46585
	\| {{mapping\| 307 973 713 862 1062 }}		\| {{mapping\| 307 973 713 862 1062 }}
	\| -0.0447		\| −0.0447
	\| 0.1756		\| 0.1756
	\| 4.49		\| 4.49
Line 55:		Line 56:
	\| 729/728, 1001/1000, 4096/4095, 6656/6655, 10648/10647		\| 729/728, 1001/1000, 4096/4095, 6656/6655, 10648/10647
	\| {{mapping\| 307 973 713 862 1062 1136 }}		\| {{mapping\| 307 973 713 862 1062 1136 }}
	\| -0.0311		\| −0.0311
	\| 0.1632		\| 0.1632
	\| 4.18		\| 4.18
Line 62:		Line 63:
	\| 729/728, 936/935, 1001/1000, 1377/1375, 2025/2023, 7744/7735		\| 729/728, 936/935, 1001/1000, 1377/1375, 2025/2023, 7744/7735
	\| {{mapping\| 307 973 713 862 1062 1136 1255 }}		\| {{mapping\| 307 973 713 862 1062 1136 1255 }}
	\| -0.0470		\| −0.0470
	\| 0.1560		\| 0.1560
	\| 3.99		\| 3.99

Francium: changed EDO intro to ED intro

2025-02-21T06:04:17Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:04, 21 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|307~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2024-07-16T12:30:06Z

Music: +music

← Older revision		Revision as of 12:30, 16 July 2024
Line 70:		Line 70:
	; [[Francium]]		; [[Francium]]
	* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) – [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]		* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) – [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]
			* "Naughty Unicorn" from ''You Are A...'' (2024) – [https://open.spotify.com/track/0c4QHJKHWYb7ErWHRXs0BA Spotify] \| [https://francium223.bandcamp.com/track/naughty-unicorn Bandcamp] \| [https://www.youtube.com/watch?v=wGfydgfwreQ YouTube]

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

FloraC: Review

2024-02-21T11:03:09Z

Review

← Older revision		Revision as of 11:03, 21 February 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|307}}		{{EDO intro\|307}}

	== Theory ==		== Theory ==
	~~307et tempers out 1220703125~~/~~1219784832~~, ~~48828125/48771072~~, ~~95703125/95551488 and~~ [[2401/2400]] in the 7-limit~~; 100663296/100656875~~, ~~939524096/935859375~~, [[~~16384~~/~~16335~~]]~~, 226492416/226474325, 2359296/2358125~~, [[6250/6237]]~~, 172032/171875, 42875/42768, 4302592/4296875~~, 15488/15435, ~~3388~~/~~3375, 766656/765625, 166375/165888, 391314/390625, 3294225/3294172~~, 43923/43904 ~~and 102487/102400 in the 11-limit~~.		307edo is [[consistent]] to the [[7-odd-limit]], but [[harmonic]] [[3/1\|3]] is about halfway between its steps. It can be considered in either the 2.9.5.7 [[subgroup]] or the 2.9.15.21 subgroup, but the former is more flexible as it lends itself to an [[extension]] to the 2.9.5.7.11.13.17.19.23.
	===Odd harmonics===
			Using the full 7-limit [[patent val]] nonetheless, the equal temperament [[tempering out\|tempers out]] [[2401/2400]] in the 7-limit, and in the 11-limit extension, [[3388/3375]], [[6250/6237]], 15488/15435, [[16384/16335]], and 43923/43904.

			=== Odd harmonics ===
	{{Harmonics in equal\|307}}		{{Harmonics in equal\|307}}
	===Subsets and supersets===
			=== Subsets and supersets ===
	307edo is the 63rd [[prime edo]]. [[614edo]], which doubles it, gives a good correction to the harmonic 3.		307edo is the 63rd [[prime edo]]. [[614edo]], which doubles it, gives a good correction to the harmonic 3.
	==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" \|[[Subgroup]]
Line 15:		Line 21:
	! colspan="2" \|Tuning Error		! colspan="2" \|Tuning Error
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\|2.9		\| 2.9
	\|{{monzo\|-973 307}}		\| {{monzo\| -973 307 }}
	\|{{~~val~~\|307 973}}		\| {{mapping\| 307 973 }}
	\| +0.1029		\| +0.1029
	\| 0.1030		\| 0.1030
	\| 2.64		\| 2.64
	\|-		\|-
	\|2.9.5		\| 2.9.5
	\|32805/32768, {{monzo\|2 47 -65}}		\| 32805/32768, {{monzo\| 2 47 -65 }}
	\|{{~~val~~\|307 973 713}}		\| {{mapping\|307 973 713 }}
	\| -0.0257		\| -0.0257
	\| 0.2004		\| 0.2004
	\| 5.13		\| 5.13
	\|-		\|-
	\|2.9.5.7		\| 2.9.5.7
	\|32805/32768, 118098/117649, 589824/588245		\| 32805/32768, 118098/117649, 589824/588245
	\|{{~~val~~\|307 973 713 862}}		\| {{mapping\| 307 973 713 862 }}
	\| -0.0687		\| -0.0687
	\| 0.1889		\| 0.1889
	\| 4.87		\| 4.87
	\|-		\|-
	\|2.9.5.7.11		\| 2.9.5.7.11
	\|5632/5625, 8019/8000, 32805/32768, 46656/46585		\| 5632/5625, 8019/8000, 32805/32768, 46656/46585
	\|{{~~val~~\|307 973 713 862 1062}}		\| {{mapping\| 307 973 713 862 1062 }}
	\| -0.0447		\| -0.0447
	\| 0.1756		\| 0.1756
	\| 4.49		\| 4.49
	\|-		\|-
	\|2.9.5.7.11.13		\| 2.9.5.7.11.13
	\|729/728, 1001/1000, 4096/4095, 6656/6655, 10648/10647		\| 729/728, 1001/1000, 4096/4095, 6656/6655, 10648/10647
	\|{{~~val~~\|307 973 713 862 1062 1136}}		\| {{mapping\| 307 973 713 862 1062 1136 }}
	\| -0.0311		\| -0.0311
	\| 0.1632		\| 0.1632
	\| 4.18		\| 4.18
	\|-		\|-
	\|2.9.5.7.11.13.17		\| 2.9.5.7.11.13.17
	\|729/728, 936/935, 1001/1000, 1377/1375, 2025/2023, 7744/7735		\| 729/728, 936/935, 1001/1000, 1377/1375, 2025/2023, 7744/7735
	\|{{~~val~~\|307 973 713 862 1062 1136 1255}}		\| {{mapping\| 307 973 713 862 1062 1136 1255 }}
	\| -0.0470		\| -0.0470
	\| 0.1560		\| 0.1560
Line 63:		Line 69:
	== Music ==		== Music ==
	; [[Francium]]		; [[Francium]]
	* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]		* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) – [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]

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

Francium: +categories

2024-02-13T17:57:55Z

+categories

← Older revision		Revision as of 17:57, 13 February 2024
Line 64:		Line 64:
	; [[Francium]]		; [[Francium]]
	* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]		* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]

			[[Category:Listen]]

Francium: /* Music */ +links

2023-11-20T06:03:10Z

Music: +links

← Older revision		Revision as of 06:03, 20 November 2023
Line 62:		Line 62:

	== Music ==		== Music ==
	* [https://www.youtube.com/watch?v=CKq9y6qk10g ~~Broken Music From A Broken Mind] by [[User:Francium\|Francium]~~]		; [[Francium]]
			* "Broken Music From A Broken Mind" from ''Melancholie'' (2023) [https://open.spotify.com/track/3FBm2hcuQwuH5rNjQ9IOZ9 Spotify] \| [https://francium223.bandcamp.com/track/broken-music-from-a-broken-mind Bandcamp] \| [https://www.youtube.com/watch?v=CKq9y6qk10g YouTube]

Francium at 11:10, 6 August 2023

2023-08-06T11:10:37Z

← Older revision		Revision as of 11:10, 6 August 2023
Line 6:		Line 6:
	{{Harmonics in equal\|307}}		{{Harmonics in equal\|307}}
	===Subsets and supersets===		===Subsets and supersets===
	307edo is the 63rd [[prime edo]]. 614edo, which doubles it, gives a good correction to the harmonic 3.		307edo is the 63rd [[prime edo]]. [[614edo]], which doubles it, gives a good correction to the harmonic 3.
	==Regular temperament properties==		==Regular temperament properties==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"

Francium: Created page with "{{Infobox ET}} {{EDO intro|307}} == Theory == 307et tempers out 1220703125/1219784832, 48828125/48771072, 95703125/95551488 and 2401/2400 in the 7-limit; 100663296/1006568..."

2023-06-24T11:40:59Z

Created page with "{{Infobox ET}} {{EDO intro|307}} == Theory == 307et tempers out 1220703125/1219784832, 48828125/48771072, 95703125/95551488 and 2401/2400 in the 7-limit; 100663296/1006568..."

New page

{{Infobox ET}}
{{EDO intro|307}}
== Theory ==
307et tempers out 1220703125/1219784832, 48828125/48771072, 95703125/95551488 and [[2401/2400]] in the 7-limit; 100663296/100656875, 939524096/935859375, [[16384/16335]], 226492416/226474325, 2359296/2358125, [[6250/6237]], 172032/171875, 42875/42768, 4302592/4296875, 15488/15435, 3388/3375, 766656/765625, 166375/165888, 391314/390625, 3294225/3294172, 43923/43904 and 102487/102400 in the 11-limit.
===Odd harmonics===
{{Harmonics in equal|307}}
===Subsets and supersets===
307edo is the 63rd [[prime edo]]. 614edo, which doubles it, gives a good correction to the harmonic 3.
==Regular temperament properties==
{| 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
|{{monzo|-973 307}}
|{{val|307 973}}
| +0.1029
| 0.1030
| 2.64
|-
|2.9.5
|32805/32768, {{monzo|2 47 -65}}
|{{val|307 973 713}}
| -0.0257
| 0.2004
| 5.13
|-
|2.9.5.7
|32805/32768, 118098/117649, 589824/588245
|{{val|307 973 713 862}}
| -0.0687
| 0.1889
| 4.87
|-
|2.9.5.7.11
|5632/5625, 8019/8000, 32805/32768, 46656/46585
|{{val|307 973 713 862 1062}}
| -0.0447
| 0.1756
| 4.49
|-
|2.9.5.7.11.13
|729/728, 1001/1000, 4096/4095, 6656/6655, 10648/10647
|{{val|307 973 713 862 1062 1136}}
| -0.0311
| 0.1632
| 4.18
|-
|2.9.5.7.11.13.17
|729/728, 936/935, 1001/1000, 1377/1375, 2025/2023, 7744/7735
|{{val|307 973 713 862 1062 1136 1255}}
| -0.0470
| 0.1560
| 3.99
|}

== Music ==
* [https://www.youtube.com/watch?v=CKq9y6qk10g Broken Music From A Broken Mind] by [[User:Francium|Francium]]