Ground at 06:41, 2 August 2026

2026-08-02T06:41:40Z

← Older revision		Revision as of 06:41, 2 August 2026
Line 1:		Line 1:
			{{UserTag\|g_\|Ground\|7766ff\|86 is an edo whose use is generally confined to my approach, and is up there with 74edo as one of my default large edos. It's a [[Straddle primes\|straddle]] edo good for [[Monarch\|Interarch]]. Alongside being double the already respectable 43edo, this makes it my favorite edo at the time of writing.}}
	{\| class="wikitable"		{\| class="wikitable"
	\|+Intervals in selected erac subroups in 86edo (x3 for <3.>3)		\|+Intervals in selected erac subroups in 86edo (x3 for <3.>3)
	!Step		!Step
	!Cents		!Cents
	!2.x3.x5.x7.x11		!2.x3.x5.x7.x11<br>81-odd-limit, max 3 eracs
	81-odd-limit, max 3 eracs		!2.x3.x5.x7.x11.13.x17.x19.23.29.31.37<br>37-odd-limit, max 1 erac
	!2.x3.x5.x7.x11.13.x17.x19.23.29.31.37
	37-odd-limit, max 1 erac
	\|-		\|-
	\|86		\|86

Ground: Created page with "{| class="wikitable" |+Intervals in selected erac subroups in 86edo (x3 for <3.>3) !Step !Cents !2.x3.x5.x7.x11 81-odd-limit, max 3 eracs !2.x3.x5.x7.x11.13.x17.x19.23.29.31.37 37-odd-limit, max 1 erac |- |86 |1200.000 |2/1 |2/1 |- |85 |1186.047 |>>>96/49 >>>160/81 >>49/25 >63/32 | |- |84 |1172.093 |>96/49 >160/81 49/25 <63/32 | |- |83 |1158.140 |>>>48/25 <96/49 <160/81 >>27/14 >>35/18 <<49/25 <<<63/32 |72/37 >68/35 >33/17 >37/19 |- |82 |1144.186 |>48/25 <<<96/49 <<<160/..."

2026-08-02T06:35:44Z

Created page with "{| class="wikitable" |+Intervals in selected erac subroups in 86edo (x3 for <3.>3) !Step !Cents !2.x3.x5.x7.x11 81-odd-limit, max 3 eracs !2.x3.x5.x7.x11.13.x17.x19.23.29.31.37 37-odd-limit, max 1 erac |- |86 |1200.000 |2/1 |2/1 |- |85 |1186.047 |>>>96/49 >>>160/81 >>49/25 >63/32 | |- |84 |1172.093 |>96/49 >160/81 49/25 <63/32 | |- |83 |1158.140 |>>>48/25 <96/49 <160/81 >>27/14 >>35/18 <<49/25 <<<63/32 |72/37 >68/35 >33/17 >37/19 |- |82 |1144.186 |>48/25 <<<96/49 <<<160/..."

New page

{| class="wikitable"
|+Intervals in selected erac subroups in 86edo (x3 for <3.>3)
!Step
!Cents
!2.x3.x5.x7.x11
81-odd-limit, max 3 eracs
!2.x3.x5.x7.x11.13.x17.x19.23.29.31.37
37-odd-limit, max 1 erac
|-
|86
|1200.000
|2/1
|2/1
|-
|85
|1186.047
|>>>96/49 >>>160/81 >>49/25 >63/32
|
|-
|84
|1172.093
|>96/49 >160/81 49/25 <63/32
|
|-
|83
|1158.140
|>>>48/25 <96/49 <160/81 >>27/14 >>35/18 <<49/25 <<<63/32
|72/37 >68/35 >33/17 >37/19
|-
|82
|1144.186
|>48/25 <<<96/49 <<<160/81 27/14 35/18
|64/33 >48/25 >56/29 60/31 <68/35 27/14 29/15 31/16 <33/17 35/18 <37/19
|-
|81
|1130.233
|<48/25 >>>40/21 <<27/14 <<35/18
|<48/25 <56/29 >44/23 >52/27 >21/11 >23/12 25/13
|-
|80
|1116.279
|<<<48/25 >40/21
|>40/21 >36/19 <44/23 <52/27 19/10 <21/11 <23/12
|-
|79
|1102.326
|<40/21 >>>28/15 >>15/8
|>32/17 <40/21 <36/19 >17/9 66/35 70/37
|-
|78
|1088.372
|<<<40/21 >28/15 15/8
|<32/17 >28/15 15/8 <17/9 >54/29 58/31 62/33
|-
|77
|1074.419
|<28/15 <<15/8 >>>50/27 >>>90/49
|>24/13 <28/15 >13/7 <54/29 >37/20
|-
|76
|1060.465
|>>64/35 <<<28/15 >50/27 >90/49
|<24/13 <13/7 >68/37 46/25 >50/27 >35/19 <37/20
|-
|75
|1046.512
|64/35 >>>9/5 <50/27 <90/49 >>>49/27
|64/35 11/6 <68/37 42/23 <50/27 >31/17 <35/19
|-
|74
|1032.558
|<<64/35 >9/5 <<<50/27 <<<90/49 >49/27
|20/11 >56/31 >9/5 >38/21 29/16 <31/17
|-
|73
|1018.605
|<9/5 >>>25/14 <49/27
|<56/31 <9/5 <38/21
|-
|72
|1004.651
|>>16/9 <<<9/5 >25/14 <<<49/27
|52/29 34/19 >25/14 66/37
|-
|71
|990.698
|16/9 <25/14
|16/9 >44/25 >30/17 23/13 <25/14 62/35
|-
|70
|976.744
|<<16/9 >7/4 <<<25/14
|>7/4 <44/25 <30/17 >54/31 58/33 37/21
|-
|69
|962.791
|<7/4
|>40/23 <7/4 <54/31 >33/19
|-
|68
|948.837
|>>>128/75 >>12/7 >>140/81
|64/37 <40/23 26/15 19/11 <33/19
|-
|67
|934.884
|>128/75 12/7 >>>27/16 140/81
|12/7 50/29 >29/17 31/18
|-
|66
|920.930
|<128/75 <<12/7 >>42/25 >27/16 <<140/81
|>56/33 >22/13 17/10 >46/27 >27/16 <29/17
|-
|65
|906.977
|<<<128/75 42/25 <27/16
|>32/19 <56/33 <22/13 42/25 <46/27 <27/16 >37/22
|-
|64
|893.023
|>>5/3 <<42/25 <<<27/16 >>81/49
|<32/19 52/31 62/37 <37/22
|-
|63
|879.070
|5/3 81/49
|>48/29 5/3 >38/23 58/35 >33/20
|-
|62
|865.116
|<<5/3 >>>80/49 >>49/30 >>81/50 <<81/49
|<48/29 28/17 >18/11 <38/23 >23/14 <33/20
|-
|61
|851.163
|>80/49 49/30 81/50
|<18/11 <23/14 >31/19
|-
|60
|837.209
|<80/49 >>45/28 <<49/30 <<81/50
|44/27 13/8 60/37 >34/21 21/13 <31/19
|-
|59
|823.256
|>8/5 <<<80/49 45/28
|>8/5 <34/21 50/31 29/18 37/23
|-
|58
|809.302
|<8/5 >>>100/63 <<45/28 >>63/40
|<8/5 27/17 >35/22
|-
|57
|795.349
|>>128/81 >100/63 63/40
|>30/19 19/12 46/29 <35/22
|-
|56
|781.395
|128/81 >>>14/9 >>25/16 <100/63 >>>54/35 <<63/40
|36/23 11/7 52/33 <30/19 58/37
|-
|55
|767.442
|<<128/81 >14/9 25/16 <<<100/63 >54/35
|>48/31 >14/9 25/16 >54/35 >31/20
|-
|54
|753.488
|<14/9 <<25/16 <54/35 >>49/32 >>>75/49
|<48/31 >20/13 <14/9 17/11 <54/35 <31/20 >37/24
|-
|53
|739.535
|>>32/21 <<<14/9 <<<54/35 49/32 >75/49
|<20/13 >26/17 >38/25 23/15 >29/19 <37/24
|-
|52
|725.581
|32/21 <<49/32 <75/49
|32/21 >56/37 >44/29 <26/17 <38/25 <29/19 35/23
|-
|51
|711.628
|<<32/21 >3/2 >>112/75 <<<75/49
|>3/2 <56/37 <44/29 50/33
|-
|50
|697.674
|<3/2 112/75
|<3/2
|-
|49
|683.721
|>>40/27 <<112/75 >>72/49
|52/35 >34/23 46/31 37/25
|-
|48
|669.767
|40/27 72/49 >>>35/24 >>>81/56
|40/27 28/19 >22/15 <34/23 >19/13 >25/17 >54/37 31/21
|-
|47
|655.814
|<<40/27 >>36/25 <<72/49 >35/24 >81/56
|>16/11 <22/15 <19/13 <25/17 <54/37 >29/20 >35/24
|-
|46
|641.860
|36/25 <35/24 <81/56
|<16/11 36/25 42/29 <29/20 <35/24
|-
|45
|627.907
|>>>64/45 >>10/7 <<36/25 <<<35/24 <<<81/56
|13/9 23/16 33/23
|-
|44
|613.953
|>64/45 10/7 >>>45/32
|10/7 >44/31 27/19 37/26
|-
|43
|600.000
|<64/45 <<10/7 >>7/5 >45/32
|24/17 <44/31 17/12 >31/22
|-
|42
|586.047
|<<<64/45 7/5 <45/32
|7/5 52/37 38/27 <31/22
|-
|41
|572.093
|>>>48/35 <<7/5 >>>112/81 >>25/18 <<<45/32
|32/23 18/13 46/33
|-
|40
|558.140
|>48/35 >112/81 25/18
|>48/35 >40/29 >11/8 25/18 29/21
|-
|39
|544.186
|<48/35 <112/81 <<25/18 >>27/20 >>49/36
|<48/35 <40/29 <11/8 >26/19 >15/11 >34/25 >37/27
|-
|38
|530.233
|<<<48/35 <<<112/81 27/20 49/36
|<26/19 <15/11 <34/25 19/14 42/31 >23/17 27/20 <37/27
|-
|37
|516.279
|<<27/20 <<49/36 >>75/56
|<23/17 50/37 31/23 35/26
|-
|36
|502.326
|>4/3 75/56
|>4/3
|-
|35
|488.372
|<4/3 >>21/16 >>>98/75 <<75/56
|<4/3 >29/22 33/25 >37/28
|-
|34
|474.419
|>>64/49 21/16 >98/75
|>17/13 >38/29 21/16 46/35 >25/19 <29/22 <37/28
|-
|33
|460.465
|64/49 >>>9/7 <<21/16 >>>35/27 <98/75
|>48/37 >13/10 30/23 <17/13 <38/29 <25/19
|-
|32
|446.512
|>>32/25 <<64/49 >9/7 >35/27 <<<98/75
|<48/37 >40/31 >9/7 22/17 <13/10 >31/24 >35/27
|-
|31
|432.558
|32/25 <9/7 <35/27 >>>63/50 >>81/64
|32/25 <40/31 <9/7 <31/24 <35/27
|-
|30
|418.605
|<<32/25 >>80/63 <<<9/7 <<<35/27 >63/50 81/64
|14/11 >19/15 23/18 33/26 37/29
|-
|29
|404.651
|80/63 <63/50 <<81/64
|24/19 >44/35 <19/15 29/23
|-
|28
|390.698
|>5/4 <<80/63 >>56/45 <<<63/50
|>5/4 <44/35 34/27
|-
|27
|376.744
|<5/4 56/45 >>>49/40
|<5/4 36/29 >21/17 46/37 31/25
|-
|26
|362.791
|<<56/45 >>60/49 >>100/81 >49/40
|16/13 26/21 >38/31 <21/17 27/22 37/30
|-
|25
|348.837
|60/49 100/81 <49/40
|>28/23 >11/9 <38/31
|-
|24
|334.884
|>>6/5 <<60/49 <<100/81 <<<49/40 >>98/81
|>40/33 <28/23 <11/9 17/14 >23/19 >29/24
|-
|23
|320.930
|6/5 98/81
|6/5 <40/33 <23/19 <29/24 35/29
|-
|22
|306.977
|>>>32/27 <<6/5 >>25/21 <<98/81
|>44/37 >19/16 31/26 37/31
|-
|21
|293.023
|>32/27 25/21 >>>75/64
|>32/27 <44/37 >13/11 <19/16 25/21 >27/23 >33/28
|-
|20
|279.070
|<32/27 >>7/6 <<25/21 >75/64 >>81/70
|<32/27 20/17 <13/11 >34/29 <27/23 <33/28
|-
|19
|265.116
|<<<32/27 7/6 <75/64 81/70
|7/6 36/31 <34/29 29/25
|-
|18
|251.163
|<<7/6 <<<75/64 <<81/70
|22/19 15/13 >38/33 >23/20 37/32
|-
|17
|237.209
|>8/7
|>8/7 <38/33 <23/20 >31/27
|-
|16
|223.256
|<8/7 >>>28/25 >>9/8
|<8/7 >17/15 42/37 >25/22 <31/27 33/29
|-
|15
|209.302
|>28/25 9/8
|>28/25 9/8 26/23 <17/15 <25/22 35/31
|-
|14
|195.349
|>>>10/9 <28/25 <<9/8 >>>54/49
|<28/25 19/17 29/26 37/33
|-
|13
|181.395
|>10/9 <<<28/25 >54/49
|>10/9 >21/19 >31/28
|-
|12
|167.442
|<10/9 >>>27/25 <54/49 >>35/32 >>>49/45
|32/29 <10/9 11/10 >34/31 <21/19 <31/28
|-
|11
|153.488
|<<<10/9 >27/25 <<<54/49 35/32 >49/45
|12/11 <34/31 >38/35 23/21 >27/25 35/32 >37/34
|-
|10
|139.535
|>>>15/14 <27/25 <<35/32 <49/45
|>40/37 >14/13 >13/12 <38/35 25/23 <27/25 <37/34
|-
|9
|125.581
|>>16/15 >15/14 <<<27/25 <<<49/45
|<40/37 <14/13 <13/12 >15/14 >29/27
|-
|8
|111.628
|16/15 <15/14 >>>21/20
|16/15 >18/17 <15/14 >17/16 <29/27 31/29 33/31
|-
|7
|97.674
|<<16/15 <<<15/14 >21/20
|<18/17 <17/16 >19/18 >21/20 35/33 37/35
|-
|6
|83.721
|<21/20 >>>25/24
|>24/23 20/19 >22/21 <19/18 <21/20 >23/22 >27/26
|-
|5
|69.767
|>>28/27 >>36/35 <<<21/20 >25/24
|<24/23 <22/21 26/25 <23/22 >25/24 <27/26 >29/28
|-
|4
|55.814
|28/27 36/35 <25/24 >>>49/48 >>>81/80
|32/31 28/27 36/35 30/29 >34/33 >38/37 <25/24 <29/28 31/30 33/32 >35/34
|-
|3
|41.860
|>>>64/63 <<28/27 <<36/35 <<<25/24 >>50/49 >49/48 >81/80
|<34/33 <38/37 <35/34 37/36
|-
|2
|27.907
|>64/63 50/49 <49/48 <81/80
|
|-
|1
|13.953
|<64/63 <<50/49 <<<49/48 <<<81/80
|
|-
|0
|0.000
|1/1 <<<64/63 >>>63/64
|1/1
|}

86edo - Revision history

Ground at 06:41, 2 August 2026