155edo - Revision history

Lériendil: clyde

2025-03-18T15:32:56Z

clyde

← Older revision		Revision as of 15:32, 18 March 2025
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	{{ED intro}}		{{ED intro}}

	155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.		155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit, supporting [[clyde]]. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

	155edo is additionally notable for having an extremely precise (about 0.0006 cents sharp) approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.		155edo is additionally notable for having an extremely precise (about 0.0006 cents sharp) approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.

Francium: changed EDO intro to ED intro

2025-02-19T18:00:14Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:00, 19 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro}}		{{ED intro}}

	155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.		155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

Lériendil at 14:26, 16 September 2024

2024-09-16T14:26:31Z

← Older revision		Revision as of 14:26, 16 September 2024
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	155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.		155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

	155edo is additionally notable for having an extremely precise approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.		155edo is additionally notable for having an extremely precise (about 0.0006 cents sharp) approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.

	=== Odd harmonics ===		=== Odd harmonics ===

Lériendil at 14:26, 16 September 2024

2024-09-16T14:26:03Z

← Older revision		Revision as of 14:26, 16 September 2024
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	155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.		155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

			155edo is additionally notable for having an extremely precise approximation of [[15/13]], being the denominator of a convergent to its logarithm, the last one before [[8743edo]], having 28-strong [[telicity]] for this interval.

	=== Odd harmonics ===		=== Odd harmonics ===

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

2024-05-11T09:15:56Z

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

← Older revision		Revision as of 09:15, 11 May 2024
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	{{Infobox ET}}		{{Infobox ET}}
	~~'''~~155edo~~''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It~~ is closely related to [[31edo]], but the patent ~~vals~~ differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and ~~4398046511104/4236443047215~~ in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.		{{EDO intro}}
	{{~~stub~~}}
	[[~~Category:Equal divisions of the octave\|###~~]] ~~<!-- 3-digit number -->~~		155edo is closely related to [[31edo]], but the [[patent val]]s differ on the mapping for [[3/1\|3]]. The equal temperament [[tempering out\|tempers out]] 15625/15552 ([[15625/15552\|kleisma]]) and {{monzo\| 42 -25 -1 }} in the 5-limit; [[245/243]], [[3136/3125]], and 823543/819200 in the 7-limit. Using the patent val, it tempers out [[385/384]], [[896/891]], 1331/1323, and 3773/3750 in the 11-limit; [[196/195]], [[325/324]], [[625/624]], and [[1001/1000]] in the 13-limit.

			=== Odd harmonics ===
			{{Harmonics in equal\|155}}

			=== Subsets and supersets ===
			Since 155 factors into {{factorization\|155}}, 155edo contains [[5edo]] and [[31edo]] as subsets.

BudjarnLambeth: Marked as stub

2024-01-04T01:51:54Z

Marked as stub

← Older revision		Revision as of 01:51, 4 January 2024
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	{{Infobox ET}}		{{Infobox ET}}
	'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.		'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.
			{{stub}}
	[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->		[[Category:Equal divisions of the octave\|###]] <!-- 3-digit number -->

Aura at 19:08, 4 October 2022

2022-10-04T19:08:57Z

← Older revision		Revision as of 19:08, 4 October 2022
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			{{Infobox ET}}
	'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.		'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.

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

Fredg999 category edits: Sort key

2022-07-02T21:09:24Z

Sort key

← Older revision		Revision as of 21:09, 2 July 2022
Line 1:		Line 1:
	'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.		'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.

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

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

2020-12-04T23:13:10Z

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:
	'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.		'''155edo''' is the [[EDO\|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.

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

Xenllium: Created page with "'''155edo''' is the equal division of the octave into 155 parts of 7.7419 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

2019-02-20T05:26:30Z

Created page with "'''155edo''' is the equal division of the octave into 155 parts of 7.7419 cents each. It is closely related to 31edo, but the patent vals differ on the mapping for..."

New page

'''155edo''' is the [[EDO|equal division of the octave]] into 155 parts of 7.7419 cents each. It is closely related to [[31edo]], but the patent vals differ on the mapping for 3. It tempers out 15625/15552 (kleisma) and 4398046511104/4236443047215 in the 5-limit; 245/243, 3136/3125, and 823543/819200 in the 7-limit. Using the patent val, it tempers out 385/384, 896/891, 1331/1323, and 3773/3750 in the 11-limit; 196/195, 325/324, 625/624, and 1001/1000 in the 13-limit.

[[Category:Edo]]