17edt - Revision history

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

2025-07-31T15:31:27Z

Removing from Category:Edt using Cat-a-lot

← Older revision		Revision as of 15:31, 31 July 2025
Line 201:		Line 201:
	* "Circle is Square" from ''Xenharmonics, Vol. 5'' (2024) – [https://open.spotify.com/track/7aY59bxbyy17SZhBGTTJHF Spotify] \| [https://togenom.bandcamp.com/track/circle-is-square Bandcamp] \| [https://www.youtube.com/watch?v=WPR52uMkZK8 YouTube]		* "Circle is Square" from ''Xenharmonics, Vol. 5'' (2024) – [https://open.spotify.com/track/7aY59bxbyy17SZhBGTTJHF Spotify] \| [https://togenom.bandcamp.com/track/circle-is-square Bandcamp] \| [https://www.youtube.com/watch?v=WPR52uMkZK8 YouTube]

	~~[[Category:edt]]~~
	[[Category:macrotonal]]		[[Category:macrotonal]]
	[[Category:tritave]]		[[Category:tritave]]

VectorGraphics: removed sneaky even number

2025-05-06T00:06:40Z

removed sneaky even number

← Older revision		Revision as of 00:06, 6 May 2025
Line 53:		Line 53:
	\| K♯		\| K♯
	\| G♭		\| G♭
	\| ~~[[25/22]] (+2.5¢);~~ [[17/15]] (+7.1¢); [[63/55]] (−11.3¢)		\| [[17/15]] (+7.1¢); [[63/55]] (−11.3¢)
	\| 16/14 ([[8/7]]) (-7.5¢)		\| 16/14 ([[8/7]]) (-7.5¢)
	\| 223.8		\| 223.8

Lériendil at 13:45, 14 February 2025

2025-02-14T13:45:44Z

← Older revision		Revision as of 13:45, 14 February 2025
Line 23:		Line 23:
	Interval approximations shown in the 3.5''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.		Interval approximations shown in the 3.5''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.

	{\| class="wikitable center-2 center-3 center-4 mw-collapsible"		{\| class="wikitable center-2 center-3 center-4 center-5 mw-collapsible"
	\|+ style="font-size: 105%;" \| Intervals of 17edt		\|+ style="font-size: 105%;" \| Intervals of 17edt
	\|-		\|-

Lériendil at 13:45, 14 February 2025

2025-02-14T13:45:09Z

← Older revision		Revision as of 13:45, 14 February 2025
Line 21:		Line 21:
	Interval approximations shown in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).		Interval approximations shown in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).

	Interval approximations shown in the 3.5~~.7.11~~''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.		Interval approximations shown in the 3.5''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.

	{\| class="wikitable center-2 center-3 center-4 mw-collapsible"		{\| class="wikitable center-2 center-3 center-4 mw-collapsible"
Line 30:		Line 30:
	! Note (Macrodiatonic notation)		! Note (Macrodiatonic notation)
	! Approximate 3.5.7.11.17 [[subgroup]] intervals		! Approximate 3.5.7.11.17 [[subgroup]] intervals
	! Additional 3.5~~.7.11~~''.14.16''.17 subgroup intervals^		! Additional 3.5''.14.16''.17 subgroup intervals^
	! Cents		! Cents
	! Hekts		! Hekts

ArrowHead294 at 13:39, 7 January 2025

2025-01-07T13:39:52Z

Show changes

BudjarnLambeth at 14:19, 24 December 2024

2024-12-24T14:19:36Z

← Older revision		Revision as of 14:19, 24 December 2024
Line 46:		Line 46:
	\| \| F		\| \| F
	\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)		\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
	\| \| [[16/15]] (+0.2c); [[15/14]] (-7.6c)		\| \| [[16/15]] (+0.2c); [[17/16]] (+7.1c); [[15/14]] (-7.6c)
	\| \| 111.9		\| \| 111.9
	\| \| 76.5		\| \| 76.5

BudjarnLambeth at 14:17, 24 December 2024

2024-12-24T14:17:31Z

← Older revision		Revision as of 14:17, 24 December 2024
Line 17:		Line 17:

	== Intervals ==		== Intervals ==
	The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E. Interval approximations shown ~~here~~ are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).		The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E.

			Interval approximations shown in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).

			Interval approximations shown in the 3.5.7.11''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.

	{\| class="wikitable center-2 center-3 center-4 mw-collapsible"		{\| class="wikitable center-2 center-3 center-4 mw-collapsible"
Line 26:		Line 30:
	! \| Note (Macrodiatonic notation)		! \| Note (Macrodiatonic notation)
	! \| Approximate 3.5.7.11.17 [[subgroup]] intervals		! \| Approximate 3.5.7.11.17 [[subgroup]] intervals
	! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^		! \| Additional 3.5.7.11''.14.16''.17 subgroup intervals^
	! \| Cents		! \| Cents
	! \| Hekts		! \| Hekts
Line 50:		Line 54:
	\| \| Gb		\| \| Gb
	\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)		\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
	\| \|		\| \| 16/14 ([[8/7]]) (-7.5c)
	\| \| 223.8		\| \| 223.8
	\| \| 152.9		\| \| 152.9
Line 174:		Line 178:
	\| \| 1300.		\| \| 1300.
	\|}		\|}

	~~^''Not an exhaustive list''.~~

	It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

BudjarnLambeth: /* Intervals */

2024-12-24T14:08:26Z

Intervals

← Older revision		Revision as of 14:08, 24 December 2024
Line 26:		Line 26:
	! \| Note (Macrodiatonic notation)		! \| Note (Macrodiatonic notation)
	! \| Approximate 3.5.7.11.17 [[subgroup]] intervals		! \| Approximate 3.5.7.11.17 [[subgroup]] intervals
	! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals		! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^
	! \| Cents		! \| Cents
	! \| Hekts		! \| Hekts
Line 174:		Line 174:
	\| \| 1300.		\| \| 1300.
	\|}		\|}

			^''Not an exhaustive list''.

	It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

BudjarnLambeth: Complete table

2024-12-24T14:04:57Z

Complete table

← Older revision		Revision as of 14:04, 24 December 2024
Line 42:		Line 42:
	\| \| F		\| \| F
	\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)		\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
	\| \| [[16/15]] (+0.2c)		\| \| [[16/15]] (+0.2c); [[15/14]] (-7.6c)
	\| \| 111.9		\| \| 111.9
	\| \| 76.5		\| \| 76.5
Line 49:		Line 49:
	\| \| K#		\| \| K#
	\| \| Gb		\| \| Gb
	\| \| [[17/15]] (+7.1c); [[63/55]] (-11.3c)~~; [[25/22]]~~		\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
	\| \|		\| \|
	\| \| 223.8		\| \| 223.8
Line 58:		Line 58:
	\| \| F#		\| \| F#
	\| \| [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)		\| \| [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)
	\| \|		\| \| [[17/14]] (-0.5c)
	\| \| 335.6		\| \| 335.6
	\| \| 229.4		\| \| 229.4
Line 98:		Line 98:
	\| \| Bb		\| \| Bb
	\| \| [[5/3]] (+10.7c)		\| \| [[5/3]] (+10.7c)
	\| \|		\| \| [[27/16]] (-10.8c)
	\| \| 895.1		\| \| 895.1
	\| \| 611.8		\| \| 611.8
Line 106:		Line 106:
	\| \| A#		\| \| A#
	\| \| [[9/5]] (-10.7c)		\| \| [[9/5]] (-10.7c)
	\| \|		\| \| [[25/14]] (+3.1c); [[16/9]] (+10.8c)
	\| \| 1006.9		\| \| 1006.9
	\| \| 688.2		\| \| 688.2
Line 162:		Line 162:
	\| \| D#		\| \| D#
	\| \| [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)		\| \| [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)
	\| \|		\| \| [[45/16]] (-0.1c); [[14/5]] (+7.6c)
	\| \| 1790.1		\| \| 1790.1
	\| \| 1223.5		\| \| 1223.5
Line 175:		Line 175:
	\|}		\|}

	It's a ~~weird~~ coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

	~~{{todo\|inline=1\|complete table\|text=Complete the +14&16 subgroup column, add missing intervals.}}~~

	== Regular temperament ==		== Regular temperament ==

BudjarnLambeth: /* Intervals */

2024-12-24T13:51:31Z

Intervals

← Older revision		Revision as of 13:51, 24 December 2024
Line 19:		Line 19:
	The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E. Interval approximations shown here are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).		The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E. Interval approximations shown here are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).

	{\| class="wikitable center-2 center-3 center-4"		{\| class="wikitable center-2 center-3 center-4 mw-collapsible"
			\|+ Intervals of 17edt
	\|-		\|-
	! \| Degree		! \| Degree
Line 25:		Line 26:
	! \| Note (Macrodiatonic notation)		! \| Note (Macrodiatonic notation)
	! \| Approximate 3.5.7.11.17 [[subgroup]] intervals		! \| Approximate 3.5.7.11.17 [[subgroup]] intervals
	! \| Additional ~~16.~~3.5.7.11.17 [[subgroup]] intervals		! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals
	! \| Cents		! \| Cents
	! \| Hekts		! \| Hekts
Line 176:		Line 177:
	It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a weird coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

	{{todo\|inline=1\|complete table\|text=Complete the +16 subgroup column, add missing intervals.}}		{{todo\|inline=1\|complete table\|text=Complete the +14&16 subgroup column, add missing intervals.}}

	== Regular temperament ==		== Regular temperament ==

← Older revision		Revision as of 14:19, 24 December 2024
Line 46:		Line 46:
	\| \| F		\| \| F
	\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)		\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
	\| \| [[16/15]] (+0.2c); [[15/14]] (-7.6c)		\| \| [[16/15]] (+0.2c); [[17/16]] (+7.1c); [[15/14]] (-7.6c)
	\| \| 111.9		\| \| 111.9
	\| \| 76.5		\| \| 76.5

← Older revision		Revision as of 14:17, 24 December 2024
Line 17:		Line 17:

	== Intervals ==		== Intervals ==
	The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E. Interval approximations shown ~~here~~ are those within the 77-throdd limit and less than 1/3 of a step off (all of these being consistent).		The notation schemes below are based on the BPS-Lambda enneatonic scale presented in the symmetric (sLsLsLsLs, Cassiopeian) mode in J, and the Mintaka macrodiatonic scale presented in the macro-Phrygian (sLLLsLL) mode in E.

			Interval approximations shown in the 3.5.7.11.17 [[subgroup]] column are those within the 77-throdd [[limit]] and less than 1/3 of a step off (all of these being [[consistent]]).

			Interval approximations shown in the 3.5.7.11''.14.16''.17 subgroup column are those within the 77-[[integer limit]] and less than 15 [[cents]] off, consistency is not taken into account.

	{\| class="wikitable center-2 center-3 center-4 mw-collapsible"		{\| class="wikitable center-2 center-3 center-4 mw-collapsible"
Line 26:		Line 30:
	! \| Note (Macrodiatonic notation)		! \| Note (Macrodiatonic notation)
	! \| Approximate 3.5.7.11.17 [[subgroup]] intervals		! \| Approximate 3.5.7.11.17 [[subgroup]] intervals
	! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^		! \| Additional 3.5.7.11''.14.16''.17 subgroup intervals^
	! \| Cents		! \| Cents
	! \| Hekts		! \| Hekts
Line 50:		Line 54:
	\| \| Gb		\| \| Gb
	\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)		\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
	\| \|		\| \| 16/14 ([[8/7]]) (-7.5c)
	\| \| 223.8		\| \| 223.8
	\| \| 152.9		\| \| 152.9
Line 174:		Line 178:
	\| \| 1300.		\| \| 1300.
	\|}		\|}

	~~^''Not an exhaustive list''.~~

	It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

← Older revision		Revision as of 14:08, 24 December 2024
Line 26:		Line 26:
	! \| Note (Macrodiatonic notation)		! \| Note (Macrodiatonic notation)
	! \| Approximate 3.5.7.11.17 [[subgroup]] intervals		! \| Approximate 3.5.7.11.17 [[subgroup]] intervals
	! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals		! \| Additional 3.5.7.11''.14.16''.17 [[subgroup]] intervals^
	! \| Cents		! \| Cents
	! \| Hekts		! \| Hekts
Line 174:		Line 174:
	\| \| 1300.		\| \| 1300.
	\|}		\|}

			^''Not an exhaustive list''.

	It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

← Older revision		Revision as of 14:04, 24 December 2024
Line 42:		Line 42:
	\| \| F		\| \| F
	\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)		\| \| [[35/33]] (+10.0c); [[27/25]] (-21.4c); [[81/77]] (+24.2c); [[49/45]] (-35.5c)
	\| \| [[16/15]] (+0.2c)		\| \| [[16/15]] (+0.2c); [[15/14]] (-7.6c)
	\| \| 111.9		\| \| 111.9
	\| \| 76.5		\| \| 76.5
Line 49:		Line 49:
	\| \| K#		\| \| K#
	\| \| Gb		\| \| Gb
	\| \| [[17/15]] (+7.1c); [[63/55]] (-11.3c)~~; [[25/22]]~~		\| \| [[25/22]] (+2.5c); [[17/15]] (+7.1c); [[63/55]] (-11.3c)
	\| \|		\| \|
	\| \| 223.8		\| \| 223.8
Line 58:		Line 58:
	\| \| F#		\| \| F#
	\| \| [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)		\| \| [[11/9]] (-11.8c); [[21/17]] (-30.2c); [[25/21]] (+33.8c)
	\| \|		\| \| [[17/14]] (-0.5c)
	\| \| 335.6		\| \| 335.6
	\| \| 229.4		\| \| 229.4
Line 98:		Line 98:
	\| \| Bb		\| \| Bb
	\| \| [[5/3]] (+10.7c)		\| \| [[5/3]] (+10.7c)
	\| \|		\| \| [[27/16]] (-10.8c)
	\| \| 895.1		\| \| 895.1
	\| \| 611.8		\| \| 611.8
Line 106:		Line 106:
	\| \| A#		\| \| A#
	\| \| [[9/5]] (-10.7c)		\| \| [[9/5]] (-10.7c)
	\| \|		\| \| [[25/14]] (+3.1c); [[16/9]] (+10.8c)
	\| \| 1006.9		\| \| 1006.9
	\| \| 688.2		\| \| 688.2
Line 162:		Line 162:
	\| \| D#		\| \| D#
	\| \| [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)		\| \| [[99/35]] (-10.0c); [[25/9]] (+21.4c); [[77/27]] (-24.2c); [[135/49]] (+35.5c)
	\| \|		\| \| [[45/16]] (-0.1c); [[14/5]] (+7.6c)
	\| \| 1790.1		\| \| 1790.1
	\| \| 1223.5		\| \| 1223.5
Line 175:		Line 175:
	\|}		\|}

	It's a ~~weird~~ coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).		It's a strange coincidence how the schemes of 17EDO and 17EDT diatonicism are so similar and how their approximations of 9/7 are off by such similar amounts in opposite directions (17EDO -11.6 cents and 17EDT +12.4 cents).

	~~{{todo\|inline=1\|complete table\|text=Complete the +14&16 subgroup column, add missing intervals.}}~~

	== Regular temperament ==		== Regular temperament ==