27edf - Revision history

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:21:49Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:21, 1 August 2025
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	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edonoi]]~~

Fredg999 category edits: Removing from Category:Edf using Cat-a-lot

2025-08-01T19:00:09Z

Removing from Category:Edf using Cat-a-lot

← Older revision		Revision as of 19:00, 1 August 2025
Line 160:		Line 160:

	{{todo\|expand}}		{{todo\|expand}}
	~~[[Category:Edf]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]

BudjarnLambeth at 06:04, 19 December 2024

2024-12-19T06:04:15Z

← Older revision		Revision as of 06:04, 19 December 2024
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	==Harmonics==		==Harmonics==
	{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8}}		{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8}}
	{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8\|start=9}}		{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8\|start=9\|title=(contd.)}}

	==Intervals==		==Intervals==

BudjarnLambeth: Repair misleading link, todo expand, add harmonics, collapsible table

2024-12-19T06:01:16Z

Repair misleading link, todo expand, add harmonics, collapsible table

← Older revision		Revision as of 06:01, 19 December 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[~~5-odd-limit\|6-~~integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.		'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the 6-[[integer-limit]], with discrepancy for the 7th harmonic.

			It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.

	Lookalikes: [[46edo]], [[73edt]]		Lookalikes: [[46edo]], [[73edt]]

			==Harmonics==
			{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8}}
			{{Harmonics in equal\|27\|3\|2\|intervals=prime\|columns=8\|start=9}}

	==Intervals==		==Intervals==
	{\| class="wikitable"		{\| class="wikitable mw-collapsible"
			\|+ Intervals of 27edf
	\|-		\|-
	! \| degree		! \| degree
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	\|}		\|}

			{{todo\|expand}}
	[[Category:Edf]]		[[Category:Edf]]
	[[Category:Edonoi]]		[[Category:Edonoi]]

Plumtree: Infobox ET added

2022-10-05T18:39:52Z

Infobox ET added

← Older revision		Revision as of 18:39, 5 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[5-odd-limit\|6-integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.		'''[[EDF\|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo\|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[5-odd-limit\|6-integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo\|323]], [[369edo\|369]], [[415edo\|415]], and [[692edo\|692]] EDOs.

Moremajorthanmajor at 22:38, 19 August 2019

2019-08-19T22:38:05Z

← Older revision		Revision as of 22:38, 19 August 2019
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	! \| comments		! \| comments
	\|-		\|-
	\| \| 0		\| colspan="2"\| 0
	~~\| \| 0.~~0000
	\| \| '''exact [[1/1]]'''		\| \| '''exact [[1/1]]'''
	\| \|		\| \|

Xenllium: Created page with "'''Division of the just perfect fifth into 27 equal parts''' (27EDF) is related to 46 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

2019-02-07T07:16:19Z

Created page with "'''Division of the just perfect fifth into 27 equal parts''' (27EDF) is related to 46 edo, but with the 3/2 rather than the 2/1 being just. The octave is abo..."

New page

'''[[EDF|Division of the just perfect fifth]] into 27 equal parts''' (27EDF) is related to [[46edo|46 edo]], but with the 3/2 rather than the 2/1 being just. The octave is about 4.0767 cents compressed and the step size is about 25.9983 cents. Unlike 46edo, it is only consistent up to the [[5-odd-limit|6-integer-limit]], with discrepancy for the 7th harmonic. It is related to the regular temperament which tempers out 4375/4374 and 2199023255552/2188322577315 in the 7-limit, which is supported by 46, [[323edo|323]], [[369edo|369]], [[415edo|415]], and [[692edo|692]] EDOs.

Lookalikes: [[46edo]], [[73edt]]

==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | corresponding <br>JI intervals
! | comments
|-
| | 0
| | 0.0000
| | '''exact [[1/1]]'''
| |
|-
| | 1
| | 25.9983
| |
| |
|-
| | 2
| | 51.9967
| |
| |
|-
| | 3
| | 77.9950
| |
| |
|-
| | 4
| | 103.9933
| |
| |
|-
| | 5
| | 129.9917
| | 69/64
| |
|-
| | 6
| | 155.9900
| |
| |
|-
| | 7
| | 181.9883
| | [[10/9]]
| |
|-
| | 8
| | 207.9867
| |
| | pseudo-[[9/8]]
|-
| | 9
| | 233.9850
| |
| | pseudo-[[8/7]]
|-
| | 10
| | 259.9833
| |
| | pseudo-[[7/6]]
|-
| | 11
| | 285.9817
| |
| |
|-
| | 12
| | 311.9800
| |
| | pseudo-[[6/5]]
|-
| | 13
| | 337.9783
| | 175/144
| |
|-
| | 14
| | 363.9767
| | 216/175
| |
|-
| | 15
| | 389.9750
| |
| | pseudo-[[5/4]]
|-
| | 16
| | 415.9733
| |
| |
|-
| | 17
| | 441.9717
| |
| | pseudo-[[9/7]]
|-
| | 18
| | 467.9700
| |
| |
|-
| | 19
| | 493.9683
| |
| | pseudo-[[4/3]]
|-
| | 20
| | 519.9667
| | [[27/20]]
| |
|-
| | 21
| | 545.9650
| |
| |
|-
| | 22
| | 571.9633
| | 32/23
| |
|-
| | 23
| | 597.9617
| |
| |
|-
| | 24
| | 623.9600
| |
| |
|-
| | 25
| | 649.9583
| |
| |
|-
| | 26
| | 675.9567
| |
| |
|-
| | 27
| | 701.9550
| | '''exact [[3/2]]'''
| | just perfect fifth
|}

[[Category:Edf]]
[[Category:Edonoi]]