4079edo - Revision history

Francium: +music

2025-04-23T11:22:30Z

+music

← Older revision		Revision as of 11:22, 23 April 2025
Line 65:		Line 65:
	\| 4.08		\| 4.08
	\|}		\|}

			== Music ==
			; [[Francium]]
			* "Crazy Moth?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/641ao6EBEyUcw9Kt5CyKXI Spotify] \| [https://francium223.bandcamp.com/track/crazy-moth Bandcamp] \| [https://www.youtube.com/watch?v=sG1pD6Bv_NU YouTube]

ArrowHead294 at 18:22, 20 February 2025

2025-02-20T18:22:38Z

← Older revision		Revision as of 18:22, 20 February 2025
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	\| {{monzo\|-6465 4079}}		\| {{monzo\|-6465 4079}}
	\| {{mapping\|4079 6465}}		\| {{mapping\|4079 6465}}
	\| 0.0058		\| +0.0058
	\| 0.0058		\| 0.0058
	\| 1.97		\| 1.97
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	\| {{monzo\|-105 -7 50}}, {{monzo\|-123 82 -3}}		\| {{monzo\|-105 -7 50}}, {{monzo\|-123 82 -3}}
	\| {{mapping\|4079 6465 9471}}		\| {{mapping\|4079 6465 9471}}
	\| 0.0100		\| +0.0100
	\| 0.0076		\| 0.0076
	\| 2.58		\| 2.58
Line 40:		Line 40:
	\| 78125000/78121827, 13841287201/13839609375, {{monzo\|-57 16 10 3}}		\| 78125000/78121827, 13841287201/13839609375, {{monzo\|-57 16 10 3}}
	\| {{mapping\|4079 6465 9471 11451}}		\| {{mapping\|4079 6465 9471 11451}}
	\| 0.0127		\| +0.0127
	\| 0.0081		\| 0.0081
	\| 2.75		\| 2.75
Line 47:		Line 47:
	\| 151263/151250, 21437500/21434787, 14348907/14348180, 1879453125/1879048192		\| 151263/151250, 21437500/21434787, 14348907/14348180, 1879453125/1879048192
	\| {{mapping\|4079 6465 9471 11451 14111}}		\| {{mapping\|4079 6465 9471 11451 14111}}
	\| 0.0105		\| +0.0105
	\| 0.0085		\| 0.0085
	\| 2.89		\| 2.89
Line 54:		Line 54:
	\| 123201/123200, 4100625/4100096, 196625/196608, 151263/151250, 5175625/5174928		\| 123201/123200, 4100625/4100096, 196625/196608, 151263/151250, 5175625/5174928
	\| {{mapping\|4079 6465 9471 11451 14111 15094}}		\| {{mapping\|4079 6465 9471 11451 14111 15094}}
	\| 0.0100		\| +0.0100
	\| 0.0078		\| 0.0078
	\| 2.65		\| 2.65
Line 61:		Line 61:
	\| 14400/14399, 123201/123200, 121875/121856, 37180/37179, 3536379/3536000, 2100875/2100384		\| 14400/14399, 123201/123200, 121875/121856, 37180/37179, 3536379/3536000, 2100875/2100384
	\| {{mapping\|4079 6465 9471 11451 14111 15094 16673}}		\| {{mapping\|4079 6465 9471 11451 14111 15094 16673}}
	\| 0.0061		\| +0.0061
	\| 0.0120		\| 0.0120
	\| 4.08		\| 4.08
	\|}		\|}

Francium: changed EDO intro to ED intro

2025-02-19T18:10:11Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:10, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|4079~~}}		{{ED intro}}

	==Theory ==		==Theory ==

Francium: Created page with "{{Infobox ET}} {{EDO intro|4079}} ==Theory == 4079edo is consistent to the 17-odd-limit, tempering out 14400/14399, 123201/123200, 121875/121856, 37180/..."

2025-02-16T09:43:43Z

Created page with "{{Infobox ET}} {{EDO intro|4079}} ==Theory == 4079edo is consistent to the 17-odd-limit, tempering out 14400/14399, 123201/123200, 121875/121856, 37180/..."

New page

{{Infobox ET}}
{{EDO intro|4079}}

==Theory ==
4079edo is [[consistent]] to the [[17-odd-limit]], [[tempering out]] [[14400/14399]], [[123201/123200]], 121875/121856, [[37180/37179]], 3536379/3536000 and 2100875/2100384. The equal temperament is strong in the 2.3.5.11.13.31 [[subgroup]], tempering out 196625/196608, 1830519/1830400, [[140625/140608]], 492075/492032 and 54925000/54918391. Using the 2.3.5.7.11.37 subgroup, it tempers out [[12321/12320]].

=== Prime harmonics ===
{{Harmonics in equal|4079}}

=== Subsets and supersets ===
4079edo is the 562nd [[prime edo]].

== 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]] (%)
|-
| 2.3
| {{monzo|-6465 4079}}
| {{mapping|4079 6465}}
| 0.0058
| 0.0058
| 1.97
|-
| 2.3.5
| {{monzo|-105 -7 50}}, {{monzo|-123 82 -3}}
| {{mapping|4079 6465 9471}}
| 0.0100
| 0.0076
| 2.58
|-
| 2.3.5.7
| 78125000/78121827, 13841287201/13839609375, {{monzo|-57 16 10 3}}
| {{mapping|4079 6465 9471 11451}}
| 0.0127
| 0.0081
| 2.75
|-
| 2.3.5.7.11
| 151263/151250, 21437500/21434787, 14348907/14348180, 1879453125/1879048192
| {{mapping|4079 6465 9471 11451 14111}}
| 0.0105
| 0.0085
| 2.89
|-
| 2.3.5.7.11.13
| 123201/123200, 4100625/4100096, 196625/196608, 151263/151250, 5175625/5174928
| {{mapping|4079 6465 9471 11451 14111 15094}}
| 0.0100
| 0.0078
| 2.65
|-
| 2.3.5.7.11.13.17
| 14400/14399, 123201/123200, 121875/121856, 37180/37179, 3536379/3536000, 2100875/2100384
| {{mapping|4079 6465 9471 11451 14111 15094 16673}}
| 0.0061
| 0.0120
| 4.08
|}