157edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:32:06Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:32, 13 March 2026
Line 119:		Line 119:
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
	<nowiki />* [[Normal ~~lists~~\|Octave-reduced form]], reduced to the first half-octave, and [[~~Normal lists~~\|minimal form]] in parentheses if distinct		<nowiki />* [[Normal forms #Equave-reduced-generator form\|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form\|minimal form]] in parentheses if distinct

Overthink: /* Rank-2 temperaments */ note val

2026-01-30T04:54:52Z

Rank-2 temperaments: note val

← Older revision		Revision as of 04:54, 30 January 2026
Line 99:		Line 99:
	\| 351.59		\| 351.59
	\| 49/40		\| 49/40
	\| [[Hemififths]]		\| [[Hemififths]] (157eff)
	\|-		\|-
	\| 1		\| 1

Francium: changed EDO intro to ED intro

2025-02-19T18:01:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 18:01, 19 February 2025
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|157~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: /* Theory */ cleanup

2025-01-17T15:23:46Z

Theory: cleanup

← Older revision		Revision as of 15:23, 17 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	157et [[tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (~~supporting~~ the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.		157et [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} ([[quinticosiennic comma]]) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit ([[support]]ing the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
Line 9:		Line 9:

	=== Subsets and supersets ===		=== Subsets and supersets ===
	157edo is the 37th [[prime edo]].		157edo is the 37th [[prime edo]].

	== Regular temperament properties ==		== Regular temperament properties ==

ArrowHead294 at 19:41, 15 January 2025

2025-01-15T19:41:15Z

← Older revision		Revision as of 19:41, 15 January 2025
Line 3:		Line 3:

	== Theory ==		== Theory ==
	157et [[~~tempering out\|~~tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.		157et [[tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

	=== Odd harmonics ===		=== Odd harmonics ===
Line 26:		Line 26:
	\| {{monzo\| 249 -157 }}		\| {{monzo\| 249 -157 }}
	\| {{mapping\| 157 249 }}		\| {{mapping\| 157 249 }}
	\| ~~−0~~.388		\| −0.388
	\| 0.388		\| 0.388
	\| 5.08		\| 5.08
Line 33:		Line 33:
	\| 78732/78125, {{val\| 37 -16 -5 }}		\| 78732/78125, {{val\| 37 -16 -5 }}
	\| {{mapping\| 157 249 365 }}		\| {{mapping\| 157 249 365 }}
	\| ~~−0~~.760		\| −0.760
	\| 0.614		\| 0.614
	\| 8.04		\| 8.04
Line 40:		Line 40:
	\| 2401/2400, 5120/5103, 78732/78125		\| 2401/2400, 5120/5103, 78732/78125
	\| {{mapping\| 157 249 365 441 }}		\| {{mapping\| 157 249 365 441 }}
	\| ~~−0~~.737		\| −0.737
	\| 0.533		\| 0.533
	\| 6.98		\| 6.98
Line 47:		Line 47:
	\| 176/175, 1331/1323, 2401/2400, 5120/5103		\| 176/175, 1331/1323, 2401/2400, 5120/5103
	\| {{mapping\| 157 249 365 441 543 }}		\| {{mapping\| 157 249 365 441 543 }}
	\| ~~−0~~.532		\| −0.532
	\| 0.629		\| 0.629
	\| 8.24		\| 8.24
Line 54:		Line 54:
	\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187		\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187
	\| {{mapping\| 157 249 365 441 543 581 }}		\| {{mapping\| 157 249 365 441 543 581 }}
	\| ~~−0~~.454		\| −0.454
	\| 0.600		\| 0.600
	\| 7.86		\| 7.86
Line 61:		Line 61:
	\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187		\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187
	\| {{mapping\| 157 249 365 441 543 581 642 }}		\| {{mapping\| 157 249 365 441 543 581 642 }}
	\| ~~−0~~.461		\| −0.461
	\| 0.556		\| 0.556
	\| 7.28		\| 7.28
Line 68:		Line 68:
	\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475		\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475
	\| {{mapping\| 157 249 365 441 543 581 642 667 }}		\| {{mapping\| 157 249 365 441 543 581 642 667 }}
	\| ~~−0~~.420		\| −0.420
	\| 0.531		\| 0.531
	\| 6.95		\| 6.95
Line 119:		Line 119:
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

ArrowHead294: Partial undo

2024-11-16T12:46:46Z

Partial undo

← Older revision		Revision as of 12:46, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
Line 65:		Line 74:

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
Line 102:		Line 118:
	\| 250/189		\| 250/189
	\| [[Catafourth]]		\| [[Catafourth]]
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

ArrowHead294 at 03:56, 16 November 2024

2024-11-16T03:56:09Z

← Older revision		Revision as of 03:56, 16 November 2024
Line 12:		Line 12:

	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	~~! rowspan="2" \| [[Subgroup]]~~
	~~! rowspan="2" \| [[Comma list\|Comma List]]~~
	~~! rowspan="2" \| [[Mapping]]~~
	~~! rowspan="2" \| Optimal<br>8ve Stretch (¢)~~
	~~! colspan="2" \| Tuning Error~~
	\|-
	~~! [[TE error\|Absolute]] (¢)~~
	~~! [[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	\| 2.3		\| 2.3
	\| {{monzo\| 249 -157 }}		\| {{monzo\| 249 -157 }}
	\| {{mapping\| 157 249 }}		\| {{mapping\| 157 249 }}
	\| -0.388		\| −0.388
	\| 0.388		\| 0.388
	\| 5.08		\| 5.08
Line 32:		Line 24:
	\| 78732/78125, {{val\| 37 -16 -5 }}		\| 78732/78125, {{val\| 37 -16 -5 }}
	\| {{mapping\| 157 249 365 }}		\| {{mapping\| 157 249 365 }}
	\| -0.760		\| −0.760
	\| 0.614		\| 0.614
	\| 8.04		\| 8.04
Line 39:		Line 31:
	\| 2401/2400, 5120/5103, 78732/78125		\| 2401/2400, 5120/5103, 78732/78125
	\| {{mapping\| 157 249 365 441 }}		\| {{mapping\| 157 249 365 441 }}
	\| -0.737		\| −0.737
	\| 0.533		\| 0.533
	\| 6.98		\| 6.98
Line 46:		Line 38:
	\| 176/175, 1331/1323, 2401/2400, 5120/5103		\| 176/175, 1331/1323, 2401/2400, 5120/5103
	\| {{mapping\| 157 249 365 441 543 }}		\| {{mapping\| 157 249 365 441 543 }}
	\| -0.532		\| −0.532
	\| 0.629		\| 0.629
	\| 8.24		\| 8.24
Line 53:		Line 45:
	\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187		\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187
	\| {{mapping\| 157 249 365 441 543 581 }}		\| {{mapping\| 157 249 365 441 543 581 }}
	\| -0.454		\| −0.454
	\| 0.600		\| 0.600
	\| 7.86		\| 7.86
Line 60:		Line 52:
	\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187		\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187
	\| {{mapping\| 157 249 365 441 543 581 642 }}		\| {{mapping\| 157 249 365 441 543 581 642 }}
	\| -0.461		\| −0.461
	\| 0.556		\| 0.556
	\| 7.28		\| 7.28
Line 67:		Line 59:
	\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475		\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475
	\| {{mapping\| 157 249 365 441 543 581 642 667 }}		\| {{mapping\| 157 249 365 441 543 581 642 667 }}
	\| -0.420		\| −0.420
	\| 0.531		\| 0.531
	\| 6.95		\| 6.95
Line 73:		Line 65:

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all right-3 left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperament~~
	\|-		\|-
	\| 1		\| 1
Line 116:		Line 102:
	\| 250/189		\| 250/189
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		{{rank-2 end}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~		{{orf}}

FloraC: Cleanup

2024-05-11T08:56:59Z

Cleanup

← Older revision		Revision as of 08:56, 11 May 2024
Line 3:		Line 3:

	== Theory ==		== Theory ==
	157et tempers out 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.		157et [[tempering out\|tempers out]] 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

	=== ~~Prime~~ harmonics ===		=== Odd harmonics ===
	{{Harmonics in equal\|157}}		{{Harmonics in equal\|157}}

Line 24:		Line 24:
	\| 2.3		\| 2.3
	\| {{monzo\| 249 -157 }}		\| {{monzo\| 249 -157 }}
	\| [{{~~val~~\| 157 249 }}]		\| {{mapping\| 157 249 }}
	\| -0.388		\| -0.388
	\| 0.388		\| 0.388
Line 31:		Line 31:
	\| 2.3.5		\| 2.3.5
	\| 78732/78125, {{val\| 37 -16 -5 }}		\| 78732/78125, {{val\| 37 -16 -5 }}
	\| [{{~~val~~\| 157 249 365 }}]		\| {{mapping\| 157 249 365 }}
	\| -0.760		\| -0.760
	\| 0.614		\| 0.614
Line 38:		Line 38:
	\| 2.3.5.7		\| 2.3.5.7
	\| 2401/2400, 5120/5103, 78732/78125		\| 2401/2400, 5120/5103, 78732/78125
	\| [{{~~val~~\| 157 249 365 441 }}]		\| {{mapping\| 157 249 365 441 }}
	\| -0.737		\| -0.737
	\| 0.533		\| 0.533
Line 45:		Line 45:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 176/175, 1331/1323, 2401/2400, 5120/5103		\| 176/175, 1331/1323, 2401/2400, 5120/5103
	\| [{{~~val~~\| 157 249 365 441 543 }}]		\| {{mapping\| 157 249 365 441 543 }}
	\| -0.532		\| -0.532
	\| 0.629		\| 0.629
Line 52:		Line 52:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187		\| 176/175, 351/350, 847/845, 1331/1323, 2197/2187
	\| [{{~~val~~\| 157 249 365 441 543 581 }}]		\| {{mapping\| 157 249 365 441 543 581 }}
	\| -0.454		\| -0.454
	\| 0.600		\| 0.600
Line 59:		Line 59:
	\| 2.3.5.7.11.13.17		\| 2.3.5.7.11.13.17
	\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187		\| 176/175, 256/255, 351/350, 442/441, 715/714, 2197/2187
	\| [{{~~val~~\| 157 249 365 441 543 581 642 }}]		\| {{mapping\| 157 249 365 441 543 581 642 }}
	\| -0.461		\| -0.461
	\| 0.556		\| 0.556
Line 66:		Line 66:
	\| 2.3.5.7.11.13.17.19		\| 2.3.5.7.11.13.17.19
	\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475		\| 176/175, 256/255, 286/285, 351/350, 361/360, 442/441, 476/475
	\| [{{~~val~~\| 157 249 365 441 543 581 642 667 }}]		\| {{mapping\| 157 249 365 441 543 581 642 667 }}
	\| -0.420		\| -0.420
	\| 0.531		\| 0.531
Line 76:		Line 76:
	\|+Table of rank-2 temperaments by generator		\|+Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator~~<br>(Reduced)~~		! Generator*
	! Cents~~<br>(Reduced)~~		! Cents*
	! Associated<br>Ratio		! Associated<br>Ratio*
	! Temperament		! Temperament
	\|-		\|-
Line 117:		Line 117:
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}
			<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

FloraC: Adopt template: EDO intro; cleanup; -redundant categories

2023-09-01T15:41:18Z

Adopt template: EDO intro; cleanup; -redundant categories

← Older revision		Revision as of 15:41, 1 September 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	~~The '''157 equal divisions of the octave''' ('''157edo'''), or the '''157(-tone) equal temperament''' ('''157tet''', '''157et''') when viewed from a [[regular temperament]] perspective, is the [[~~EDO\|~~equal division of the octave]] into~~ 157 ~~parts of about 7.64 [[cent]]s each.~~		{{EDO intro\|157}}

	== Theory ==		== Theory ==
	157et tempers out 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.		157et tempers out 78732/78125 ([[sensipent comma]]) and {{monzo\| 37 -16 -5 }} (quinticosiennic comma) in the 5-limit; [[2401/2400]], [[5120/5103]], and 110592/109375 in the 7-limit (supporting the [[hemififths]] and the [[catafourth]] temperaments). Using the [[patent val]], it tempers out [[176/175]], 1331/1323, 3773/3750 and [[8019/8000]] in the 11-limit; [[351/350]], [[352/351]], [[847/845]], [[1573/1568]], and [[2197/2187]] in the 13-limit.

	~~157edo is the 37th [[prime EDO]].~~		=== Prime harmonics ===
			{{Harmonics in equal\|157}}

	=== ~~Prime harmonics~~ ===		=== Subsets and supersets ===
	~~{{Primes in~~ edo~~\|157}}~~		157edo is the 37th [[prime edo]].

	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \| Subgroup		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list]]		! rowspan="2" \| [[Comma list\|Comma List]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve ~~stretch~~ (¢)		! rowspan="2" \| Optimal<br>8ve Stretch (¢)
	! colspan="2" \| Tuning ~~error~~		! colspan="2" \| Tuning Error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
Line 74:		Line 75:
	{\| class="wikitable center-all right-3 left-5"		{\| class="wikitable center-all right-3 left-5"
	\|+Table of rank-2 temperaments by generator		\|+Table of rank-2 temperaments by generator
	! Periods<br>per ~~octave~~		! Periods<br>per 8ve
	! Generator<br>(~~reduced~~)		! Generator<br>(Reduced)
	! Cents<br>(~~reduced~~)		! Cents<br>(Reduced)
	! Associated<br>~~ratio~~		! Associated<br>Ratio
	! Temperament		! Temperament
	\|-		\|-
Line 108:		Line 109:
	\| 443.31		\| 443.31
	\| 162/125		\| 162/125
	\| [[~~Sensipent~~]]		\| [[Warrior]]
	\|-		\|-
	\| 1		\| 1
Line 116:		Line 117:
	\| [[Catafourth]]		\| [[Catafourth]]
	\|}		\|}

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

Plumtree: Infobox ET now computes most parameters automatically

2022-10-04T19:16:35Z

Infobox ET now computes most parameters automatically

← Older revision		Revision as of 19:16, 4 October 2022
Line 1:		Line 1:
	{{Infobox ET		{{Infobox ET}}
	~~\| Prime factorization = 157 (prime)~~
	~~\| Step size = 7.64331¢~~
	~~\| Fifth = 92\157 (703.18¢)~~
	~~\| Major 2nd = 27\157 (206¢)~~
	~~\| Semitones = 16:11 (122¢ : 84¢)~~
	~~\| Consistency = 9~~
	}}
	The '''157 equal divisions of the octave''' ('''157edo'''), or the '''157(-tone) equal temperament''' ('''157tet''', '''157et''') when viewed from a [[regular temperament]] perspective, is the [[EDO\|equal division of the octave]] into 157 parts of about 7.64 [[cent]]s each.		The '''157 equal divisions of the octave''' ('''157edo'''), or the '''157(-tone) equal temperament''' ('''157tet''', '''157et''') when viewed from a [[regular temperament]] perspective, is the [[EDO\|equal division of the octave]] into 157 parts of about 7.64 [[cent]]s each.

← Older revision		Revision as of 19:16, 4 October 2022
Line 1:		Line 1:
	{{Infobox ET		{{Infobox ET}}
	~~\| Prime factorization = 157 (prime)~~
	~~\| Step size = 7.64331¢~~
	~~\| Fifth = 92\157 (703.18¢)~~
	~~\| Major 2nd = 27\157 (206¢)~~
	~~\| Semitones = 16:11 (122¢ : 84¢)~~
	~~\| Consistency = 9~~
	}}
	The '''157 equal divisions of the octave''' ('''157edo'''), or the '''157(-tone) equal temperament''' ('''157tet''', '''157et''') when viewed from a [[regular temperament]] perspective, is the [[EDO\|equal division of the octave]] into 157 parts of about 7.64 [[cent]]s each.		The '''157 equal divisions of the octave''' ('''157edo'''), or the '''157(-tone) equal temperament''' ('''157tet''', '''157et''') when viewed from a [[regular temperament]] perspective, is the [[EDO\|equal division of the octave]] into 157 parts of about 7.64 [[cent]]s each.