Sinbadmic chords - Revision history

FloraC: Recategorize

2025-03-19T14:13:42Z

Recategorize

← Older revision		Revision as of 14:13, 19 March 2025
Line 16:		Line 16:
	The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].		The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].

	[[Category:13-odd-limit]]		[[Category:13-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Triads]]		[[Category:Triads]]
	[[Category:Tetrads]]		[[Category:Tetrads]]
	[[Category:Sinbadmic]]		[[Category:Sinbadmic]]

FloraC: Cleanup

2025-03-19T14:13:26Z

Cleanup

← Older revision		Revision as of 14:13, 19 March 2025
Line 2:		Line 2:

	The triads are of the form		The triads are of the form
	* 1-[[7/5]]-[[20/13]], with steps of [[7/5~~]]-~~[[11/10]]-[[13/10]],		* 1–[[7/5]]–[[20/13]], with steps of 7/5, [[11/10]], [[13/10]],

	and its inversion,		and its inversion,
	* ~~1-[[7~~/~~5]]-~~[[20/11]], with steps of [[7/5~~]]-[[~~13/10~~]]-[[~~11/10]].		* 1–7/5–[[20/11]], with steps of 7/5, 13/10, 11/10.

	~~It leads~~ to following tetrads:		They can be extended to following palindromic tetrads:
	* ~~1-[[11~~/~~10]]-[[13~~/~~10]]-~~[[10/7]] with steps of [[11/10~~]]-~~[[13/11]]~~-[[~~11/10~~]]-[[~~7/5]];		* 1–11/10–13/10–[[10/7]] with steps of 11/10, [[13/11]], 11/10, 7/5;
	* ~~1-[[11~~/~~10]]-[[10~~/~~7]]-~~[[11/7]] with steps of [[11/10~~]]-[[~~13/10~~]]-[[~~11/10~~]]-~~[[14/11]];		* 1–11/10–10/7–[[11/7]] with steps of 11/10, 13/10, 11/10, [[14/11]];
	* ~~1-[[13~~/~~10]]-[[10~~/~~7]]-~~[[13/7]] with steps of [[13/10~~]]-[[~~11/10~~]]-[[~~13/10~~]]-~~[[14/13]].		* 1–13/10–10/7–[[13/7]] with steps of 13/10, 11/10, 13/10, [[14/13]].

	Equal temperaments with sinbadmic chords include {{Optimal ET sequence\| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].		Equal temperaments with sinbadmic chords include {{Optimal ET sequence\| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].

Xenllium at 10:51, 23 August 2023

2023-08-23T10:51:18Z

← Older revision		Revision as of 10:51, 23 August 2023
Line 2:		Line 2:

	The triads are of the form		The triads are of the form
	* 1-[[7/5]]-[[20/13]], with steps [[7/5]]-[[11/10]]-[[13/10]],		* 1-[[7/5]]-[[20/13]], with steps of [[7/5]]-[[11/10]]-[[13/10]],

	and its inversion,		and its inversion,
	* 1-[[7/5]]-[[20/11]], with steps [[7/5]]-[[13/10]]-[[11/10]].		* 1-[[7/5]]-[[20/11]], with steps of [[7/5]]-[[13/10]]-[[11/10]].

	It leads to ~~a tetrad,~~		It leads to following tetrads:
	* 1-[[11/10]]-[[13/10]]-[[10/7]] ~~in one voicing, which has~~ steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]].		* 1-[[11/10]]-[[13/10]]-[[10/7]] with steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]];
			* 1-[[11/10]]-[[10/7]]-[[11/7]] with steps of [[11/10]]-[[13/10]]-[[11/10]]-[[14/11]];
			* 1-[[13/10]]-[[10/7]]-[[13/7]] with steps of [[13/10]]-[[11/10]]-[[13/10]]-[[14/13]].

	Equal temperaments with sinbadmic chords include {{~~EDOs~~\| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].		Equal temperaments with sinbadmic chords include {{Optimal ET sequence\| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]].

	The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].		The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].

FloraC: Recategorize

2023-05-23T11:46:35Z

Recategorize

← Older revision		Revision as of 11:46, 23 May 2023
Line 14:		Line 14:
	The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].		The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights\|tales of 1001 Nights]].

			[[Category:13-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:Sinbadmic]]		[[Category:Sinbadmic]]

FloraC: FloraC moved page Sinbadmic tetrad to Sinbadmic chords: It has triads as well as tetrads

2021-12-30T14:50:58Z

FloraC moved page Sinbadmic tetrad to Sinbadmic chords: It has triads as well as tetrads

← Older revision	Revision as of 14:50, 30 December 2021
(No difference)

FloraC: Expansion

2021-12-30T14:49:27Z

Expansion

@@ Line 1: / Line 1: @@
-The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include [[29edo]], [[31edo]], [[43edo]], [[50edo]], [[53edo]], [[58edo]], [[72edo]], 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].
+A '''sinbadmic chord''' is a [[13-limit]] [[essentially tempered dyadic chord]] which is tempered by [[1001/1000]] (sinbadma).
-The name is derived from the ''sinbadma'' ([[1001/1000]]), a [[comma]] that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]
+The triads are of the form
 [[Category:Tetrad]]

Xenwolf: added links

2018-10-13T22:56:39Z

added links

← Older revision		Revision as of 22:56, 13 October 2018
Line 1:		Line 1:
	The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].		The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include [[29edo]], [[31edo]], [[43edo]], [[50edo]], [[53edo]], [[58edo]], [[72edo]], 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].

	The name is derived from the ''sinbadma'' ([[1001/1000]]), a [[comma]] that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]		The name is derived from the ''sinbadma'' ([[1001/1000]]), a [[comma]] that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]

	[[Category:Tetrad]]		[[Category:Tetrad]]

Xenwolf: added link to comma

2018-10-13T22:53:16Z

added link to comma

← Older revision		Revision as of 22:53, 13 October 2018
Line 1:		Line 1:
	The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].		The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].

	The name is derived from the ''sinbadma'' ([[1001/1000]]), a comma that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]		The name is derived from the ''sinbadma'' ([[1001/1000]]), a [[comma]] that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]

	[[Category:Tetrad]]		[[Category:Tetrad]]

Xenwolf: fixed typo: sinbadmic comma -> sinbadma

2018-10-13T22:47:30Z

fixed typo: sinbadmic comma -> sinbadma

← Older revision		Revision as of 22:47, 13 October 2018
Line 1:		Line 1:
	The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].		The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].

	The name ''~~'sinbamic'~~'' ~~comes from the sinbamic comma~~ ([[1001/1000]]) ~~which~~ is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]		The name is derived from the ''sinbadma'' ([[1001/1000]]), a comma that is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]

	[[Category:Tetrad]]		[[Category:Tetrad]]

Xenwolf: simplified links added category, added explanation for name

2018-10-13T22:44:59Z

simplified links added category, added explanation for name

← Older revision		Revision as of 22:44, 13 October 2018
Line 1:		Line 1:
	The sinbadmic tetrad is a 13-limit [[~~Dyadic_chord\|essentially tempered~~ dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1-11/10-13/10-10/7 in one voicing, which has steps of 11/10-13/11-11/10-7/5. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with 1701edo giving the optimal patent val.		The '''sinbadmic tetrad''' is a [[13-limit]] essentially tempered [[dyadic chord]] which is a 1001/1000 (sinbadmic) tempered 1 - [[11/10]] - [[13/10]] - [[10/7]] in one voicing, which has steps of [[11/10]] - [[13/11]] - [[11/10]] - [[7/5]]. Equal temperaments with sinbadmic tetrads include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with [[1701edo]] giving the optimal [[patent val]].

			The name '''sinbamic''' comes from the sinbamic comma ([[1001/1000]]) which is reminiscent of the [https://en.wikipedia.org/wiki/One_Thousand_and_One_Nights tales of 1001 Nights]

			[[Category:Tetrad]]