184edo - Revision history

ArrowHead294 at 16:39, 20 February 2025

2025-02-20T16:39:00Z

← Older revision		Revision as of 16:39, 20 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	184edo is closely related to [[46edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with five mappings possible for the 11-limit: {{val\| 184 292 427 517 637 }} ([[patent val]]), {{val\| 184 '''291''' 427 '''516''' '''636''' }} (184bde), {{val\| 184 292 '''428''' 517 637 }} (184c), {{val\| 184 292 427 '''516''' '''636''' }} (184de), and {{val\| 184 292 427 517 '''636''' }} (184e).		184edo is closely related to [[46edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with five mappings possible for the 11-limit: {{val\| 184 292 427 517 637 }} ([[patent val]]), {{val\| 184 '''291''' 427 '''516''' '''636''' }} (184bde), {{val\| 184 292 '''428''' 517 637 }} (184c), {{val\| 184 292 427 '''516''' '''636''' }} (184de), and {{val\| 184 292 427 517 '''636''' }} (184e).

FloraC: Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

2024-04-22T16:15:07Z

Adopt template: EDO intro; +prime error table; +subsets and supersets; -redundant categories

← Older revision		Revision as of 16:15, 22 April 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	~~'''184edo''' is the [[~~EDO~~\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each.~~		{{EDO intro}}

	184edo is closely related to [[46edo]], but the patent ~~vals~~ differ on the mapping for 5. It is ~~inconsistent~~ to the 5-limit and higher ~~limit~~, with five mappings possible for the 11-limit: {{val\| 184 292 427 517 637 }} ([[patent val]]), {{val\| 184 '''291''' 427 '''516''' '''636''' }} (184bde), {{val\| 184 292 '''428''' 517 637 }} (184c), {{val\| 184 292 427 '''516''' '''636''' }} (184de), and {{val\| 184 292 427 517 '''636''' }} (184e).		184edo is closely related to [[46edo]], but the [[patent val]]s differ on the mapping for [[5/1\|5]]. It is in[[consistent]] to the [[5-odd-limit]] and higher limits, with five mappings possible for the 11-limit: {{val\| 184 292 427 517 637 }} ([[patent val]]), {{val\| 184 '''291''' 427 '''516''' '''636''' }} (184bde), {{val\| 184 292 '''428''' 517 637 }} (184c), {{val\| 184 292 427 '''516''' '''636''' }} (184de), and {{val\| 184 292 427 517 '''636''' }} (184e).

	Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, [[10976/10935]], and 65536/64827 in the 7-limit; [[540/539]], [[896/891]], 6875/6804, and 12005/11979 in the 11-limit; [[352/351]], [[364/363]], [[640/637]], and [[676/675]] in the 13-limit.		Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; [[3125/3087]], [[10976/10935]], and 65536/64827 in the 7-limit; [[540/539]], [[896/891]], 6875/6804, and 12005/11979 in the 11-limit; [[352/351]], [[364/363]], [[640/637]], and [[676/675]] in the 13-limit.

	Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; [[225/224]], 50421/50000, and 38263752/37515625 in the 7-limit; [[385/384]], [[540/539]], 15309/15125, and 43923/43750 in the 11-limit; [[351/350]], [[625/624]], [[1001/1000]], 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, [[1573/1568]], [[1575/1573]], 1701/1690, [[1716/1715]], and 3042/3025 are tempered out in the 13-limit.		Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; [[225/224]], [[50421/50000]], and 38263752/37515625 in the 7-limit; [[385/384]], [[540/539]], 15309/15125, and 43923/43750 in the 11-limit; [[351/350]], [[625/624]], [[1001/1000]], 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, [[1573/1568]], [[1575/1573]], 1701/1690, [[1716/1715]], and 3042/3025 are tempered out in the 13-limit.

	Using the 184c val, it tempers out the [[diaschisma]], 2048/2025 and the [[sensipent comma]], 78732/78125 in the 5-limit; [[2401/2400]] and 65536/64827 in the 7-limit; [[176/175]], 896/891, 3773/3750, and [[14641/14580]] in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit.		Using the 184c val, it tempers out the [[diaschisma]], 2048/2025 and the [[sensipent comma]], 78732/78125 in the 5-limit; [[2401/2400]] and 65536/64827 in the 7-limit; [[176/175]], 896/891, 3773/3750, and [[14641/14580]] in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit.
Line 14:		Line 14:
	Using the 184e val, it tempers out 385/384, 3388/3375, [[9801/9800]], and 12100/11907 in the 11-limit; [[275/273]], 572/567, 640/637, and [[847/845]] in the 13-limit.		Using the 184e val, it tempers out 385/384, 3388/3375, [[9801/9800]], and 12100/11907 in the 11-limit; [[275/273]], 572/567, 640/637, and [[847/845]] in the 13-limit.

	~~[[Category:Equal divisions of the octave~~\|~~###]] <!-- 3-digit number -->~~		=== Odd harmonics ===
			{{Harmonics in equal\|184}}

			=== Subsets and supersets ===
			Since 184 factors into {{factorization\|184}}, 184edo has subset edos {{EDOs\| 2, 4, 8, 23, 46, and 92 }}.

Plumtree: Infobox ET added

2022-10-04T21:15:42Z

Infobox ET added

← Older revision		Revision as of 21:15, 4 October 2022
Line 1:		Line 1:
			{{Infobox ET}}
	'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each.		'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each.

Fredg999 category edits: Sort key

2022-07-02T21:22:47Z

Sort key

← Older revision		Revision as of 21:22, 2 July 2022
Line 13:		Line 13:
	Using the 184e val, it tempers out 385/384, 3388/3375, [[9801/9800]], and 12100/11907 in the 11-limit; [[275/273]], 572/567, 640/637, and [[847/845]] in the 13-limit.		Using the 184e val, it tempers out 385/384, 3388/3375, [[9801/9800]], and 12100/11907 in the 11-limit; [[275/273]], 572/567, 640/637, and [[847/845]] in the 13-limit.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

FloraC: +links and improve readability

2022-02-07T16:28:01Z

+links and improve readability

← Older revision		Revision as of 16:28, 7 February 2022
Line 1:		Line 1:
	'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: ~~<~~184 292 427 517 637\| (patent val), ~~<~~184 291 427 516 636\| (184bde), ~~<~~184 292 428 517 637\| (184c), ~~<~~184 292 427 516 636\| (184de), and ~~<~~184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[~~Tetracot family\|~~tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit; 352/351, 364/363, 640/637, and 676/675 in the 13-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit; 351/350, 625/624, 1001/1000, 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, 1573/1568, 1575/1573, 1701/1690, 1716/1715, and 3042/3025 are tempered out in the 13-limit. Using the 184c val, it tempers out the [[~~Diaschismic family\|~~diaschisma]], 2048/2025 and the [[~~Sensipent family\|~~sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit; 196/195, 676/675, 1001/1000, 3185/3168 in the 13-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit; 275/273, 572/567, 640/637, and 847/845 in the 13-limit.		'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each.

			184edo is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: {{val\| 184 292 427 517 637 }} ([[patent val]]), {{val\| 184 '''291''' 427 '''516''' '''636''' }} (184bde), {{val\| 184 292 '''428''' 517 637 }} (184c), {{val\| 184 292 427 '''516''' '''636''' }} (184de), and {{val\| 184 292 427 517 '''636''' }} (184e).

			Using the patent val, it tempers out the [[tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, [[10976/10935]], and 65536/64827 in the 7-limit; [[540/539]], [[896/891]], 6875/6804, and 12005/11979 in the 11-limit; [[352/351]], [[364/363]], [[640/637]], and [[676/675]] in the 13-limit.

			Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; [[225/224]], 50421/50000, and 38263752/37515625 in the 7-limit; [[385/384]], [[540/539]], 15309/15125, and 43923/43750 in the 11-limit; [[351/350]], [[625/624]], [[1001/1000]], 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, [[1573/1568]], [[1575/1573]], 1701/1690, [[1716/1715]], and 3042/3025 are tempered out in the 13-limit.

			Using the 184c val, it tempers out the [[diaschisma]], 2048/2025 and the [[sensipent comma]], 78732/78125 in the 5-limit; [[2401/2400]] and 65536/64827 in the 7-limit; [[176/175]], 896/891, 3773/3750, and [[14641/14580]] in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit.

			Using the 184de val, it tempers out [[1029/1024]], 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit; 196/195, 676/675, 1001/1000, 3185/3168 in the 13-limit.

			Using the 184e val, it tempers out 385/384, 3388/3375, [[9801/9800]], and 12100/11907 in the 11-limit; [[275/273]], 572/567, 640/637, and [[847/845]] in the 13-limit.

	[[Category:Equal divisions of the octave]]		[[Category:Equal divisions of the octave]]

Keenan Pepper category edits: Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

2020-12-04T23:13:14Z

Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot

← Older revision		Revision as of 23:13, 4 December 2020
Line 1:		Line 1:
	'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit; 352/351, 364/363, 640/637, and 676/675 in the 13-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit; 351/350, 625/624, 1001/1000, 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, 1573/1568, 1575/1573, 1701/1690, 1716/1715, and 3042/3025 are tempered out in the 13-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit; 196/195, 676/675, 1001/1000, 3185/3168 in the 13-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit; 275/273, 572/567, 640/637, and 847/845 in the 13-limit.		'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit; 352/351, 364/363, 640/637, and 676/675 in the 13-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit; 351/350, 625/624, 1001/1000, 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, 1573/1568, 1575/1573, 1701/1690, 1716/1715, and 3042/3025 are tempered out in the 13-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit; 196/195, 676/675, 1001/1000, 3185/3168 in the 13-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit; 275/273, 572/567, 640/637, and 847/845 in the 13-limit.

	[[Category:~~Edo~~]]		[[Category:Equal divisions of the octave]]

Xenllium at 11:38, 24 December 2018

2018-12-24T11:38:55Z

← Older revision		Revision as of 11:38, 24 December 2018
Line 1:		Line 1:
	'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (~~optimal~~ patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit.		'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit; 352/351, 364/363, 640/637, and 676/675 in the 13-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit; 351/350, 625/624, 1001/1000, 4455/4394, and 7203/7150 in the 13-limit. Using the 184bdef val, 1573/1568, 1575/1573, 1701/1690, 1716/1715, and 3042/3025 are tempered out in the 13-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit; 351/350, 352/351, 364/363, and 9295/9261 in the 13-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit; 196/195, 676/675, 1001/1000, 3185/3168 in the 13-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit; 275/273, 572/567, 640/637, and 847/845 in the 13-limit.

	[[Category:Edo]]		[[Category:Edo]]

Xenllium: minor edit

2018-12-13T12:53:38Z

minor edit

← Older revision		Revision as of 12:53, 13 December 2018
Line 1:		Line 1:
	'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (optimal patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the ~~optimal~~ patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit.		'''184edo''' is the [[EDO\|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637\| (optimal patent val), <184 291 427 516 636\| (184bde), <184 292 428 517 637\| (184c), <184 292 427 516 636\| (184de), and <184 292 427 517 636\| (184e). Using the patent val, it tempers out the [[Tetracot family\|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit. Using the 184c val, it tempers out the [[Diaschismic family\|diaschisma]], 2048/2025 and the [[Sensipent family\|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit.

	[[Category:Edo]]		[[Category:Edo]]

Xenllium: Created page with "'''184edo''' is the equal division of the octave into 184 parts of 6.5217 cents each. It is closely related to 46edo, but the patent vals differ on the mapping..."

2018-12-07T11:34:01Z

Created page with "'''184edo''' is the equal division of the octave into 184 parts of 6.5217 cents each. It is closely related to 46edo, but the patent vals differ on the mapping..."

New page

'''184edo''' is the [[EDO|equal division of the octave]] into 184 parts of 6.5217 [[cent]]s each. It is closely related to [[46edo]], but the patent vals differ on the mapping for 5. It is inconsistent to the 5-limit and higher limit, with five mappings possible for the 11-limit: <184 292 427 517 637| (optimal patent val), <184 291 427 516 636| (184bde), <184 292 428 517 637| (184c), <184 292 427 516 636| (184de), and <184 292 427 517 636| (184e). Using the optimal patent val, it tempers out the [[Tetracot family|tetracot comma]], 20000/19683 and 286102294921875/281474976710656 in the 5-limit; 3125/3087, 10976/10935, and 65536/64827 in the 7-limit; 540/539, 896/891, 6875/6804, and 12005/11979 in the 11-limit. Using the 184bde val, it tempers out 129140163/125000000 and 553584375/536870912 in the 5-limit; 225/224, 50421/50000, and 38263752/37515625 in the 7-limit; 385/384, 540/539, 15309/15125, and 43923/43750 in the 11-limit. Using the 184c val, it tempers out the [[Diaschismic family|diaschisma]], 2048/2025 and the [[Sensipent family|sensipent comma]], 78732/78125 in the 5-limit; 2401/2400 and 65536/64827 in the 7-limit; 176/175, 896/891, 3773/3750, and 14641/14580 in the 11-limit. Using the 184de val, it tempers out 1029/1024, 153664/151875, and 214375/209952 in the 7-limit; 896/891, 1331/1323, 2401/2376, and 3773/3750 in the 11-limit. Using the 184e val, it tempers out 385/384, 3388/3375, 9801/9800, and 12100/11907 in the 11-limit.

[[Category:Edo]]