17ed5 - Revision history

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

2025-08-01T19:20:39Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
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	}}		}}

	~~[[Category:Edonoi]]~~
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
	[[Category:Todo:add sound example]]		[[Category:Todo:add sound example]]

Fredg999 category edits: Removing from Category:Ed5 using Cat-a-lot

2025-08-01T18:39:03Z

Removing from Category:Ed5 using Cat-a-lot

← Older revision		Revision as of 18:39, 1 August 2025
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	}}		}}

	~~[[Category:Ed5]]~~
	[[Category:Edonoi]]		[[Category:Edonoi]]
	[[Category:Hyperpyth]]		[[Category:Hyperpyth]]
	[[Category:Todo:add sound example]]		[[Category:Todo:add sound example]]

BudjarnLambeth: Hatmonics

2024-10-06T01:17:00Z

Hatmonics

@@ Line 116: / Line 116: @@
 | | just major third plus two octaves
 |}
 [[Category:Ed5]]

Plumtree: Infobox ET added

2022-10-05T20:38:52Z

Infobox ET added

← Older revision		Revision as of 20:38, 5 October 2022
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			{{Infobox ET}}
	'''[[Ed5\|Division of the 5th harmonic]] into 17 equal parts''' (17ED5) is a good [[hyperpyth]] tuning. The step size is about 163.9008 cents, corresponding to 7.3215 [[EDO]].		'''[[Ed5\|Division of the 5th harmonic]] into 17 equal parts''' (17ED5) is a good [[hyperpyth]] tuning. The step size is about 163.9008 cents, corresponding to 7.3215 [[EDO]].

Xenllium at 07:43, 28 August 2021

2021-08-28T07:43:46Z

← Older revision		Revision as of 07:43, 28 August 2021
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	'''[[Ed5\|Division of the 5th harmonic]] into 17 equal parts''' (17ED5) is a good [[hyperpyth]] tuning. The step size is about 163.9008 cents, corresponding to 7.3215 [[EDO]].		'''[[Ed5\|Division of the 5th harmonic]] into 17 equal parts''' (17ED5) is a good [[hyperpyth]] tuning. The step size is about 163.9008 cents, corresponding to 7.3215 [[EDO]].

	A hyperpyth tuning, 17ED5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ED5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after ~~5ed5~~, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.		== Division of the 5/1 into 17 tones ==
			A hyperpyth tuning, 17ED5 offers a good compromise between 13/5 and 17/5, but the 9/5 of 983 cents is a little bit flat. However, in hyperpyth, 21/5 isn't necessarily represented, at least not as well. In 17ED5, the 21/5 is represented about as well as the 9/5 is, although that's not too good. Luckily, 27, 29, and 39 do a fair job of it. Nevertheless it's the simplest equal hyperpyth after 5ED5, and quite consonant. I imagine it to be the traditional tonality of the tiny creatures living on subatomic particles.

	But wait, an interesting pattern emerges:		But wait, an interesting pattern emerges:

	22ED5 focuses on 9/5		[[22ed5\|22ED5]] focuses on 9/5

	27ED5 focuses on 13/5		[[27ed5\|27ED5]] focuses on 13/5

	29ED5 focuses on 17/5		[[29ed5\|29ED5]] focuses on 17/5

	(and 34=17*2)		(and 34=17*2)
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	so: 22+27+29=78=39*2		so: 22+27+29=78=39*2

	and behold, of the lot, 39ED5 offers the best balance between those intervals.		and behold, of the lot, [[39ed5\|39ED5]] offers the best balance between those intervals.

	{\| class="wikitable"		{\| class="wikitable"

Xenllium at 07:36, 28 August 2021

2021-08-28T07:36:26Z

← Older revision		Revision as of 07:36, 28 August 2021
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	\| \| 10		\| \| 10
	\| \| 1639.008		\| \| 1639.008
	\| \| [[13/5]]		\| \| [[13/5]], [[9/7\|18/7]]
	\| \|		\| \|
	\|-		\|-

Xenllium at 07:33, 28 August 2021

2021-08-28T07:33:18Z

Show changes

Xenwolf: upd cats

2020-11-29T13:20:10Z

upd cats

← Older revision		Revision as of 13:20, 29 November 2020
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	\| \|		\| \|
	\|}		\|}
	[[Category:~~ed5~~]]		[[Category:Ed5]]
	[[Category:~~edonoi~~]]		[[Category:Edonoi]]
	[[Category:~~todo~~:~~add_sound_examples~~]]
			[[Category:Todo:add sound example]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z