14edf - Revision history

ArrowHead294: /* See also */

2025-06-25T19:18:07Z

ArrowHead294 at 18:09, 18 June 2025

2025-06-18T18:09:40Z

← Older revision		Revision as of 18:09, 18 June 2025
Line 114:		Line 114:
	* [[62ed6]] – relative ed6		* [[62ed6]] – relative ed6
	* [[86ed12]] – relative ed12		* [[86ed12]] – relative ed12
			* [[198ed304]] – close to the zeta-optimized tuning for 24edo

			[[Category:24edo]]

FloraC: /* Intervals */ cleanup

2025-05-27T10:10:31Z

Intervals: cleanup

← Older revision		Revision as of 10:10, 27 May 2025
Line 13:		Line 13:

	== Intervals ==		== Intervals ==
	{{todo\|complete table\|text=~~add~~ column with ~~note names,~~ JI ~~approximations,~~ and/or ~~comments on practical uses~~}}		{{todo\|inline=1\|complete table\|text=Add column with approximated JI ratios and/or notation.}}
	{\| class="wikitable mw-~~collapsible"~~
	~~\|+ style="font~~-~~size: 105%;~~" ~~\| Intervals of 14edf~~		{\| class="wikitable center-1 right-2"
	\|-		\|-
	! ~~Degree~~		! #
	! Cents		! Cents
	\|-		\|-
	\| 0		\| 0
	\| 0		\| 0.0
	\|-		\|-
	\| 1		\| 1
	\| 50.~~1396~~		\| 50.1
	\|-		\|-
	\| 2		\| 2
	\| 100.~~2793~~		\| 100.3
	\|-		\|-
	\| 3		\| 3
	\| 150.~~4189~~		\| 150.4
	\|-		\|-
	\| 4		\| 4
	\| 200.~~5586~~		\| 200.6
	\|-		\|-
	\| 5		\| 5
	\| 250.~~6982~~		\| 250.7
	\|-		\|-
	\| 6		\| 6
	\| 300.~~8379~~		\| 300.8
	\|-		\|-
	\| 7		\| 7
	\| ~~350~~.~~9775~~		\| 351.0
	\|-		\|-
	\| 8		\| 8
	\| 401.~~1171~~		\| 401.1
	\|-		\|-
	\| 9		\| 9
	\| 451.~~2568~~		\| 451.3
	\|-		\|-
	\| 10		\| 10
	\| 501.~~3964~~		\| 501.4
	\|-		\|-
	\| 11		\| 11
	\| 551.~~536~~		\| 551.5
	\|-		\|-
	\| 12		\| 12
	\| 601.~~6757~~		\| 601.7
	\|-		\|-
	\| 13		\| 13
	\| 651.~~8154~~		\| 651.8
	\|-		\|-
	\| 14		\| 14
	\| ~~701~~.~~955~~		\| 702.0
	\|-		\|-
	\| 15		\| 15
	\| 752.~~0946~~		\| 752.1
	\|-		\|-
	\| 16		\| 16
	\| 802.~~2343~~		\| 802.2
	\|-		\|-
	\| 17		\| 17
	\| 852.~~3739~~		\| 852.4
	\|-		\|-
	\| 18		\| 18
	\| 902.~~5136~~		\| 902.5
	\|-		\|-
	\| 19		\| 19
	\| 952.~~6532~~		\| 952.7
	\|-		\|-
	\| 20		\| 20
	\| 1002.~~7929~~		\| 1002.8
	\|-		\|-
	\| 21		\| 21
	\| 1052.~~9235~~		\| 1052.9
	\|-		\|-
	\| 22		\| 22
	\| 1103.~~0721~~		\| 1103.1
	\|-		\|-
	\| 23		\| 23
	\| 1153.~~2118~~		\| 1153.2
	\|-		\|-
	\| 24		\| 24
	\| 1203.~~3514~~		\| 1203.4
	\|-		\|-
	\| 25		\| 25
	\| 1253.~~4911~~		\| 1253.5
	\|-		\|-
	\| 26		\| 26
	\| 1303.~~6307~~		\| 1303.6
	\|-		\|-
	\| 27		\| 27
	\| 1353.~~7704~~		\| 1353.8
	\|-		\|-
	\| 28		\| 28
	\| 1403.91		\| 1403.9
	\|}		\|}

FloraC: Cleanup & expand

2025-05-27T10:08:21Z

Cleanup & expand

← Older revision		Revision as of 10:08, 27 May 2025
Line 2:		Line 2:
	{{ED intro}}		{{ED intro}}

	~~14EDF~~ is related to [[24edo]], but with the ~~3/2~~ rather than the 2/1 being just, which stretches the octave by 3.~~3514~~ cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.		== Theory ==
			14edf is related to [[24edo]], but with the perfect fifth rather than the [[2/1\|octave]] being just, which stretches the octave by about 3.35 cents. The [[patent val]] has a generally sharp tendency for harmonics up to 22, with the exception for [[7/1\|7]], [[14/1\|14]], and [[21/1\|21]].

	~~Lookalikes: [[24edo]], [[38edt]]~~		=== Harmonics ===
			{{Harmonics in equal\|14\|3\|2\|intervals=integer\|columns=11}}
			{{Harmonics in equal\|14\|3\|2\|intervals=integer\|columns=12\|start=12\|collapsed=true\|title=Approximation of harmonics in 14edf (continued)}}

	== ~~Harmonics~~ ==		=== Subsets and supersets ===
	~~{{Harmonics in equal\|~~14~~\|3\|2\|intervals=prime}}~~		Since 14 factors into primes as {{nowrap\| 2 × 7 }}, 14edf contains subset edfs [[2edf]] and [[7edf]].
	{{~~Harmonics in equal\|14\|3~~\|2~~\|start=12\|collapsed=1\|intervals=prime~~}}

	== Intervals ==		== Intervals ==
Line 106:		Line 108:
	\|}		\|}

			== See also ==
	~~{{stub}}~~		* [[24edo]] – relative edo
	[[~~Category:Edonoi~~]]		* [[38edt]] – relative edt
			* [[56ed5]] – relative ed5
			* [[62ed6]] – relative ed6
			* [[86ed12]] – relative ed12

ArrowHead294 at 17:03, 21 January 2025

2025-01-21T17:03:17Z

← Older revision		Revision as of 17:03, 21 January 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	~~'''[[EDF\|Division of the just perfect fifth]] into 14 equal parts''' (~~14EDF) is related to [[24edo~~\|24 edo~~]], but with the 3/2 rather than the 2/1 being just~~. The~~ octave ~~is about~~ 3.3514 ~~cents stretched and the step size is about 50.1396~~ cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.		{{ED intro}}

			14EDF is related to [[24edo]], but with the 3/2 rather than the 2/1 being just, which stretches the octave by 3.3514 cents. The patent val has a generally sharp tendency for harmonics up to 22, with the exception for 7, 14, and 21.

	Lookalikes: [[24edo]], [[38edt]]		Lookalikes: [[24edo]], [[38edt]]

	==Harmonics==		== Harmonics ==
	{{Harmonics in equal\|14\|3\|2\|intervals=prime}}		{{Harmonics in equal\|14\|3\|2\|intervals=prime}}
	{{Harmonics in equal\|14\|3\|2\|start=12\|collapsed=1\|intervals=prime}}		{{Harmonics in equal\|14\|3\|2\|start=12\|collapsed=1\|intervals=prime}}

	==Intervals==		== Intervals ==
	{{todo\|complete table\|text=add column with note names, JI approximations and/or comments on practical uses}}		{{todo\|complete table\|text=add column with note names, JI approximations, and/or comments on practical uses}}
	{\| class="wikitable mw-collapsible"		{\| class="wikitable mw-collapsible"
	\|+ Intervals of 14edf		\|+ style="font-size: 105%;" \| Intervals of 14edf
	!Degree		\|-
	!Cents		! Degree
			! Cents
	\|-		\|-
	\|0		\| 0
	\|0		\| 0
	\|-		\|-
	\|1		\| 1
	\|50.1396		\| 50.1396
	\|-		\|-
	\|2		\| 2
	\|100.2793		\| 100.2793
	\|-		\|-
	\|3		\| 3
	\|150.4189		\| 150.4189
	\|-		\|-
	\|4		\| 4
	\|200.5586		\| 200.5586
	\|-		\|-
	\|5		\| 5
	\|250.6982		\| 250.6982
	\|-		\|-
	\|6		\| 6
	\|300.8379		\| 300.8379
	\|-		\|-
	\|7		\| 7
	\|350.9775		\| 350.9775
	\|-		\|-
	\|8		\| 8
	\|401.1171		\| 401.1171
	\|-		\|-
	\|9		\| 9
	\|451.2568		\| 451.2568
	\|-		\|-
	\|10		\| 10
	\|501.3964		\| 501.3964
	\|-		\|-
	\|11		\| 11
	\|551.536		\| 551.536
	\|-		\|-
	\|12		\| 12
	\|601.6757		\| 601.6757
	\|-		\|-
	\|13		\| 13
	\|651.8154		\| 651.8154
	\|-		\|-
	\|14		\| 14
	\|701.955		\| 701.955
	\|-		\|-
	\|15		\| 15
	\|752.0946		\| 752.0946
	\|-		\|-
	\|16		\| 16
	\|802.2343		\| 802.2343
	\|-		\|-
	\|17		\| 17
	\|852.3739		\| 852.3739
	\|-		\|-
	\|18		\| 18
	\|902.5136		\| 902.5136
	\|-		\|-
	\|19		\| 19
	\|952.6532		\| 952.6532
	\|-		\|-
	\|20		\| 20
	\|1002.7929		\| 1002.7929
	\|-		\|-
	\|21		\| 21
	\|1052.9235		\| 1052.9235
	\|-		\|-
	\|22		\| 22
	\|1103.0721		\| 1103.0721
	\|-		\|-
	\|23		\| 23
	\|1153.2118		\| 1153.2118
	\|-		\|-
	\|24		\| 24
	\|1203.3514		\| 1203.3514
	\|-		\|-
	\|25		\| 25
	\|1253.4911		\| 1253.4911
	\|-		\|-
	\|26		\| 26
	\|1303.6307		\| 1303.6307
	\|-		\|-
	\|27		\| 27
	\|1353.7704		\| 1353.7704
	\|-		\|-
	\|28		\| 28
	\|1403.91		\| 1403.91
	\|}		\|}


	{{stub}}		{{stub}}
			[[Category:Edonoi]]

BudjarnLambeth at 03:23, 21 December 2024

2024-12-21T03:23:57Z

← Older revision		Revision as of 03:23, 21 December 2024
Line 9:		Line 9:

	==Intervals==		==Intervals==
	{{todo\|complete table\|add column with note names, JI approximations and/or comments on practical uses}}		{{todo\|complete table\|text=add column with note names, JI approximations and/or comments on practical uses}}
	{\| class="wikitable mw-collapsible"		{\| class="wikitable mw-collapsible"
	\|+ Intervals of 14edf		\|+ Intervals of 14edf

BudjarnLambeth: stub mbox, add harmonics, make table collapsible, todo|complete table

2024-12-21T03:23:41Z

stub mbox, add harmonics, make table collapsible, todo|complete table

← Older revision		Revision as of 03:23, 21 December 2024
Line 3:		Line 3:

	Lookalikes: [[24edo]], [[38edt]]		Lookalikes: [[24edo]], [[38edt]]

			==Harmonics==
			{{Harmonics in equal\|14\|3\|2\|intervals=prime}}
			{{Harmonics in equal\|14\|3\|2\|start=12\|collapsed=1\|intervals=prime}}

	==Intervals==		==Intervals==
	{\| class="wikitable"		{{todo\|complete table\|add column with note names, JI approximations and/or comments on practical uses}}
	\|+		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 14edf
	!Degree		!Degree
	!		!Cents
	\|-		\|-
	\|0		\|0
Line 96:		Line 102:
	\|1403.91		\|1403.91
	\|}		\|}


			{{stub}}

FloraC: -irrelevant shit

2024-05-07T13:21:27Z

-irrelevant shit

Show changes

Moremajorthanmajor at 17:58, 22 March 2023

2023-03-22T17:58:51Z

@@ Line 96: / Line 96: @@
 |1403.91
 |}
 [[Category:Edf]]
 [[Category:Edonoi]]
 [[Category:todo:improve synopsis]]

Moremajorthanmajor: /* Intervals */

2023-03-08T20:46:08Z

Intervals

← Older revision		Revision as of 20:46, 8 March 2023
Line 6:		Line 6:
	{\| class="wikitable"		{\| class="wikitable"
	\|+		\|+
			!Degree
	!		!
	~~!ed3/2~~
	\|-		\|-
	\|0		\|0
Line 13:		Line 13:
	\|-		\|-
	\|1		\|1
	\|50.~~139~~		\|50.1396
	\|-		\|-
	\|2		\|2

← Older revision		Revision as of 19:18, 25 June 2025
Line 113:		Line 113:
	* [[56ed5]] – relative ed5		* [[56ed5]] – relative ed5
	* [[62ed6]] – relative ed6		* [[62ed6]] – relative ed6
			* [[83ed11]] – relative ed11
	* [[86ed12]] – relative ed12		* [[86ed12]] – relative ed12
	* [[198ed304]] – close to the zeta-optimized tuning for 24edo		* [[198ed304]] – close to the zeta-optimized tuning for 24edo

	[[Category:24edo]]		[[Category:24edo]]