Jubilismic clan: Difference between revisions

Revision as of 14:16, 21 July 2025

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The jubilismic clan tempers out the jubilisma, 50/49, which means 7/5 and 10/7 are both equated to the 600-cent tritone and the octave is divided in two.

Jubilic

The head of this clan, jubilic, is generated by ~5/4. That and a semioctave give ~7/4.

Subgroup: 2.5.7

Comma list: 50/49

Sval mapping: [⟨2 0 1], ⟨0 1 1]]

sval mapping generators: ~7/5, ~5

Gencom mapping: [⟨2 0 0 1], ⟨0 0 1 1]]

Optimal tunings:

WE: ~7/5 = 599.6673 ¢, ~5/4 = 380.6287 ¢ (~8/7 = 219.0386 ¢)

error map: ⟨-0.665 -7.016 +10.139]

CWE: ~7/5 = 600.0000 ¢, ~5/4 = 380.0086 ¢ (~8/7 = 219.9914 ¢)

error map: ⟨0.000 -6.305 +11.183]

Optimal ET sequence: 2, 4, 6, 16, 22, 60d

Badness (Sintel): 0.140

Overview to extensions

Lemba finds the perfect fifth three steps away by tempering out 1029/1024. Astrology, five steps away by tempering out 3125/3072. Decimal, two steps away by tempering out 25/24 and 49/48. Walid merges ~5/4 and ~4/3 by tempering out 16/15.

Diminished adds 36/35 and splits the ~7/5 period in a further two. Pajara adds 64/63 and slices the ~7/4 in two, with antikythera being every other step thereof. Dubbla adds 78125/73728 and slices the ~5/4 in two. Injera adds 81/80 and slices the ~5/1 in four. Octokaidecal adds 28/27. Bipelog adds 135/128. Those splits the generator into three in various ways. Hexe adds 128/125 and slices the period in three. Hedgehog adds 250/243. Elvis adds 8505/8192. Those slice the generator in five. Comic adds 2240/2187. Crepuscular adds 4375/4374. Those slice the generator in seven. Byhearted adds 19683/19208. Bipyth adds 20480/19683. Those slice the generator in nine.

Temperaments discussed elsewhere are:

Decimal (+25/24) → Dicot family
Diminished (+36/35) → Dimipent family
Pajara (+64/63) → Diaschismic family
Dubbla (+78125/73728) → Wesley family
Injera (+81/80) → Meantone family
Octokaidecal (+28/27) → Trienstonic clan
Bipelog (+135/128) → Mavila family
Hexe (+128/125) → Augmented family
Hedgehog (+250/243) → Porcupine family
Crepuscular (+4375/4374) → Fifive family
Byhearted (+19683/19208) → Tetracot family

Considered below are lemba, astrology, walid, antikythera, doublewide, elvis, comic, and bipyth.

Lemba

Main article: Lemba

For the 5-limit version, see Miscellaneous 5-limit temperaments #Lemba.

Lemba tempers out 1029/1024, the gamelisma, and a stack of three ~8/7 generators gives an approximate perfect fifth.

Subgroup: 2.3.5.7

Comma list: 50/49, 525/512

Mapping: [⟨2 2 5 6], ⟨0 3 -1 -1]]

mapping generators: ~7/5, ~8/7

Optimal tunings:

WE: ~7/5 = 601.4623 ¢, ~8/7 = 232.6544 ¢

error map: ⟨+2.925 -1.067 -11.656 +7.294]

CWE: ~7/5 = 600.0000 ¢, ~8/7 = 232.2655 ¢

error map: ⟨0.000 -5.158 -18.579 -1.091]

Optimal ET sequence: 10, 16, 26, 36c, 62c

Badness (Sintel): 1.57

11-limit

Subgroup: 2.3.5.7.11

Comma list: 45/44, 50/49, 385/384

Mapping: [⟨2 2 5 6 5], ⟨0 3 -1 -1 5]]

Optimal tunings:

WE: ~7/5 = 601.1769 ¢, ~8/7 = 231.4273 ¢
CWE: ~7/5 = 600.0000 ¢, ~8/7 = 231.1781 ¢

Optimal ET sequence: 10, 16, 26

Badness (Sintel): 1.37

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 45/44, 50/49, 65/64, 78/77

Mapping: [⟨2 2 5 6 5 7], ⟨0 3 -1 -1 5 1]]

Optimal tunings:

WE: ~7/5 = 601.1939 ¢, ~8/7 = 231.4261 ¢
CWE: ~7/5 = 600.0000 ¢, ~8/7 = 231.1617 ¢

Optimal ET sequence: 10, 16, 26

Badness (Sintel): 1.05

Astrology

Astrology tempers out 3125/3072, the magic comma, and a stack of five ~5/4 generators gives an approximate harmonic 3.

Subgroup: 2.3.5.7

Comma list: 50/49, 3125/3072

Mapping: [⟨2 0 4 5], ⟨0 5 1 1]]

mapping geenerators: ~7/5, ~5/4

Optimal tunings:

WE: ~7/5 = 599.6999 ¢, ~5/4 = 380.3881 ¢ (~8/7 = 219.3119 ¢)

error map: ⟨-0.600 -0.015 -7.126 +10.062]

CWE: ~7/5 = 600.0000 ¢, ~5/4 = 380.5123 ¢ (~8/7 = 219.4877 ¢)

error map: ⟨0.000 +0.606 -5.801 +11.686]

Optimal ET sequence: 6, 16, 22, 60d

Badness (Sintel): 2.09

11-limit

Subgroup: 2.3.5.7.11

Comma list: 50/49, 121/120, 176/175

Mapping: [⟨2 0 4 5 5], ⟨0 5 1 1 3]]

Optimal tunings:

WE: ~7/5 = 600.0538 ¢, ~5/4 = 380.5640 ¢ (~8/7 = 219.4897 ¢)
CWE: ~7/5 = 600.0000 ¢, ~5/4 = 380.5419 ¢ (~8/7 = 219.4581 ¢)

Optimal ET sequence: 6, 16, 22

Badness (Sintel): 1.29

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 50/49, 65/64, 78/77, 121/120

Mapping: [⟨2 0 4 5 5 8], ⟨0 5 1 1 3 -1]]

Optimal tunings:

WE: ~7/5 = 600.7886 ¢, ~5/4 = 380.2857 ¢ (~8/7 = 220.5028 ¢)
CWE: ~7/5 = 600.0000 ¢, ~5/4 = 379.9119 ¢ (~8/7 = 220.0881 ¢)

Optimal ET sequence: 6, 16, 22, 38f

Badness (Sintel): 1.42

Music

Astrology Percussion Quintet No 1^{[dead link]} play^{[dead link]} by Joel Taylor

Horoscope

Subgroup: 2.3.5.7.11.13

Comma list: 50/49, 66/65, 105/104, 121/120

Mapping: [⟨2 0 4 5 5 3], ⟨0 5 1 1 3 7]]

Optimal tunings:

WE: ~7/5 = 599.8927 ¢, ~5/4 = 379.7688 ¢ (~8/7 = 220.1239 ¢)
CWE: ~7/5 = 600.0000 ¢, ~5/4 = 379.8117 ¢ (~8/7 = 220.1883 ¢)

Optimal ET sequence: 6f, 16, 22f, 38

Badness (Sintel): 1.46

Walid

Subgroup: 2.3.5.7

Comma list: 16/15, 50/49

Mapping: [⟨2 0 8 9], ⟨0 1 -1 -1]]

mapping generators: ~7/5, ~3

Optimal tunings:

WE: ~7/5 = 589.0384 ¢, ~3/2 = 735.7242 ¢ (~15/14 = 146.6857 ¢)

error map: ⟨-21.923 +11.846 +12.193 +18.719]

CWE: ~7/5 = 600.0000 ¢, ~3/2 = 750.4026 ¢ (~15/14 = 150.4026 ¢)

error map: ⟨0.000 +48.448 +63.284 +80.771]

Optimal ET sequence: 2, 6, 8d

Badness (Sintel): 1.24

11-limit

Subgroup: 2.3.5.7.11

Comma list: 16/15, 22/21, 50/49

Mapping: [⟨2 0 8 9 7], ⟨0 1 -1 -1 0]]

Optimal tunings:

WE: ~7/5 = 589.7684 ¢, ~3/2 = 736.9708 ¢ (~12/11 = 147.2023 ¢)
CWE: ~7/5 = 600.0000 ¢, ~3/2 = 750.5221 ¢ (~12/11 = 150.5221 ¢)

Optimal ET sequence: 2, 6, 8d

Badness (Sintel): 0.965

Antikythera

Named by Gene Ward Smith in 2011^[1], antikythera is every other step of pajara.

Subgroup: 2.9.5.7

Comma list: 50/49, 64/63

Sval mapping: [⟨2 0 11 12], ⟨0 1 -1 -1]]

mapping generators: ~7/5, ~9

Gencom mapping: [⟨2 3 5 6], ⟨0 1/2 -1 -1]]

gencom: [7/5 8/7; 50/49 64/63]

Optimal tunings:

WE: ~7/5 = 598.8483 ¢, ~9/8 = 213.6844 ¢

error map: ⟨-2.303 +2.864 -5.756 +10.580]

CWE: ~7/5 = 600.0000 ¢, ~9/8 = 214.6875 ¢

error map: ⟨0.000 +10.778 -1.001 +16.487]

Optimal ET sequence: 2, 4, 6, 16, 22, 28

RMS error: 2.572 cents

Badness (Sintel): 0.253

Doublewide

For the 5-limit version, see Superpyth–22 equivalence continuum #Doublewide (5-limit).

Subgroup: 2.3.5.7

Comma list: 50/49, 875/864

Mapping: [⟨2 1 3 4], ⟨0 4 3 3]]

mapping generators: ~7/5, ~6/5

Optimal tunings:

WE: ~7/5 = 600.0365 ¢, ~6/5 = 325.7389 ¢ (~7/6 = 274.2975 ¢)

error map: ⟨-2.303 +2.864 -5.756 +10.580]

CWE: ~7/5 = 600.0000 ¢, ~6/5 = 325.7353 ¢ (~7/6 = 274.2647 ¢)

error map: ⟨0.000 +10.778 -1.001 +16.487]

Optimal ET sequence: 4, 14bd, 18, 22, 48

Badness (Sintel): 1.10

11-limit

Subgroup: 2.3.5.7.11

Comma list: 50/49, 99/98, 875/864

Mapping: [⟨2 1 3 4 8], ⟨0 4 3 3 -2]]

Optimal tunings:

WE: ~7/5 = 600.1818 ¢, ~6/5 = 325.6434 ¢ (~7/6 = 274.5384 ¢)
CWE: ~7/5 = 600.0000 ¢, ~6/5 = 325.5854 ¢ (~7/6 = 274.4146 ¢)

Optimal ET sequence: 4, 18, 22, 48

Badness (Sintel): 1.06

Fleetwood

Subgroup: 2.3.5.7.11

Comma list: 50/49, 55/54, 176/175

Mapping: [⟨2 1 3 4 2], ⟨0 4 3 3 9]]

Optimal tunings:

WE: ~7/5 = 599.6049 ¢, ~6/5 = 326.8229 ¢ (~7/6 = 272.7819 ¢)
CWE: ~7/5 = 600.0000 ¢, ~6/5 = 326.8890 ¢ (~7/6 = 273.1110 ¢)

Optimal ET sequence: 4e, …, 18e, 22

Badness (Sintel): 1.16

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 50/49, 55/54, 65/63, 176/175

Mapping: [⟨2 1 3 4 2 3], ⟨0 4 3 3 9 8]]

Optimal tunings:

WE: ~7/5 = 599.5482 ¢, ~6/5 = 327.5939 ¢ (~7/6 = 271.9543 ¢)
CWE: ~7/5 = 600.0000 ¢, ~6/5 = 327.6706 ¢ (~7/6 = 272.3294 ¢)

Optimal ET sequence: 4ef, …, 18e, 22

Badness (Sintel): 1.32

Cavalier

Subgroup: 2.3.5.7.11

Comma list: 45/44, 50/49, 875/864

Mapping: [⟨2 1 3 4 1], ⟨0 4 3 3 11]]

Optimal tunings:

WE: ~7/5 = 600.9467 ¢, ~6/5 = 323.9369 ¢ (~7/6 = 277.0098 ¢)
CWE: ~7/5 = 600.0000 ¢, ~6/5 = 323.7272 ¢ (~7/6 = 276.2728 ¢)

Optimal ET sequence: 4e, 22e, 26

Badness (Sintel): 1.75

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 45/44, 50/49, 78/77, 325/324

Mapping: [⟨2 1 3 4 1 2], ⟨0 4 3 3 11 10]]

Optimal tunings:

WE: ~7/5 = 600.9537 ¢, ~6/5 = 323.9097 ¢ (~7/6 = 277.0440 ¢)
CWE: ~7/5 = 600.0000 ¢, ~6/5 = 323.6876 ¢ (~7/6 = 276.3124 ¢)

Optimal ET sequence: 4ef, 22ef, 26

Badness (Sintel): 1.45

Elvis

For the 5-limit version, see Miscellaneous 5-limit temperaments #Elvis.

Subgroup: 2.3.5.7

Comma list: 50/49, 8505/8192

Mapping: [⟨2 1 10 11], ⟨0 2 -5 -5]]

mapping generators: ~7/5, ~64/45

Optimal tunings:

WE: ~7/5 = 601.6846 ¢, ~64/45 = 648.0937 ¢ (~64/63 = 46.4091 ¢)

error map: ⟨+3.369 -4.083 -9.936 +9.236]

CWE: ~7/5 = 600.0000 ¢, ~64/45 = 646.0539 ¢ (~64/63 = 46.0539 ¢)

error map: ⟨0.000 -9.847 -16.583 +0.904]

Optimal ET sequence: 2, 24c, 26

Badness (Sintel): 3.58

11-limit

Subgroup: 2.3.5.7.11

Comma list: 45/44, 50/49, 1344/1331

Mapping: [⟨2 1 10 11 8], ⟨0 2 -5 -5 -1]]

Optimal tunings:

WE: ~7/5 = 601.2186 ¢, ~16/11 = 647.4300 ¢ (~56/55 = 46.2114 ¢)
CWE: ~7/5 = 600.0000 ¢, ~16/11 = 645.9681 ¢ (~56/55 = 45.9681 ¢)

Optimal ET sequence: 2, 24c, 26

Badness (Sintel): 2.09

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 45/44, 50/49, 78/77, 1053/1024

Mapping: [⟨2 1 10 11 8 16], ⟨0 2 -5 -5 -1 -8]]

Optimal tunings:

WE: ~7/5 = 601.2206 ¢, ~16/11 = 647.4219 ¢ (~56/55 = 46.2013 ¢)
CWE: ~7/5 = 600.0000 ¢, ~16/11 = 645.9362 ¢ (~56/55 = 45.9362 ¢)

Optimal ET sequence: 2f, 24cf, 26

Badness (Sintel): 1.82

Comic

For the 5-limit version, see Superpyth–22 equivalence continuum #Comic (5-limit).

Subgroup: 2.3.5.7

Comma list: 50/49, 2240/2187

Mapping: [⟨2 1 -3 -2], ⟨0 2 7 7]]

mapping generators: ~7/5, ~40/27

Optimal tunings:

WE: ~7/5 = 598.9554 ¢, ~40/27 = 653.5596 ¢ (~28/27 = 54.6042 ¢)

error map: ⟨+3.369 -4.083 -9.936 +9.236]

CWE: ~7/5 = 600.0000 ¢, ~40/27 = 654.3329 ¢ (~28/27 = 54.3329 ¢)

error map: ⟨0.000 -9.847 -16.583 +0.904]

Optimal ET sequence: 2cd, …, 20cd, 22

Badness (Sintel): 2.14

11-limit

Subgroup: 2.3.5.7.11

Comma list: 50/49, 99/98, 2662/2625

Mapping: [⟨2 1 -3 -2 -4], ⟨0 2 7 7 10]]

Optimal tunings:

WE: ~7/5 = 598.8161 ¢, ~22/15 = 653.8909 ¢ (~28/27 = 55.0747 ¢)
CWE: ~7/5 = 600.0000 ¢, ~22/15 = 654.7898 ¢ (~28/27 = 54.7898 ¢)

Optimal ET sequence: 2cde, …, 20cde, 22

Badness (Sintel): 1.49

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 50/49, 65/63, 99/98, 968/945

Mapping: [⟨2 1 -3 -2 -4 3], ⟨0 2 7 7 10 4]]

Optimal tunings:

WE: ~7/5 = 600.1030 ¢, ~22/15 = 654.5470 ¢ (~28/27 = 54.4440 ¢)
CWE: ~7/5 = 600.0000 ¢, ~22/15 = 654.4665 ¢ (~28/27 = 54.4665 ¢)

Optimal ET sequence: 2cde, 20cde, 22

Badness (Sintel): 1.71

Bipyth

For the 5-limit version, see Syntonic–diatonic equivalence continuum #Superpyth (5-limit).

Subgroup: 2.3.5.7

Comma list: 50/49, 20480/19683

Mapping: [⟨2 0 -24 -23], ⟨0 1 9 9]]

mapping generators: ~7/5, ~3

Optimal tunings:

WE: ~7/5 = 598.7533 ¢, ~3/2 = 707.9630 ¢ (~15/14 = 109.2098 ¢)

error map: ⟨+3.369 -4.083 -9.936 +9.236]

CWE: ~7/5 = 600.0000 ¢, ~3/2 = 709.1579 ¢ (~15/14 = 109.1579 ¢)

error map: ⟨0.000 -9.847 -16.583 +0.904]

Optimal ET sequence: 10cd, 12cd, 22

Badness (Sintel): 4.18

11-limit

Subgroup: 2.3.5.7.11

Comma list: 50/49, 121/120, 896/891

Mapping: [⟨2 0 -24 -23 -9], ⟨0 1 9 9 5]]

Optimal tunings:

WE: ~7/5 = 599.2296 ¢, ~3/2 = 708.3992 ¢ (~15/14 = 109.1697 ¢)
CWE: ~7/5 = 600.0000 ¢, ~3/2 = 709.1395 ¢ (~15/14 = 109.1395 ¢)

Optimal ET sequence: 10cd, 12cde, 22

Badness (Sintel): 2.34

Sedecic

Subgroup: 2.3.5.7

Comma list: 50/49, 546875/524288

Mapping: [⟨16 0 37 45], ⟨0 1 0 0]]

Optimal tunings:

WE: ~128/125 = 75.0539 ¢, ~3/2 = 701.0578 ¢ (~525/512 = 25.5726 ¢)

error map: ⟨0.000 0.000 -11.314 +6.174]

CWE: ~128/125 = 75.0000 ¢, ~3/2 = 700.8957 ¢ (~525/512 = 25.8957 ¢)

error map: ⟨0.000 -1.401 -11.314 +6.174]

Optimal ET sequence: 16, 32, 48

Badness (Sintel): 6.73

11-limit

Subgroup: 2.3.5.7.11

Comma list: 50/49, 385/384, 1331/1323

Mapping: [⟨16 0 37 45 30], ⟨0 1 0 0 1]]

Optimal tunings:

WE: ~22/21 = 75.0000 ¢, ~3/2 = 700.7810 ¢ (~45/44 = 25.3476 ¢)
CWE: ~22/21 = 75.0000 ¢, ~3/2 = 700.6780 ¢ (~45/44 = 25.6780 ¢)

Optimal ET sequence: 16, 32, 48

Badness (Sintel): 3.07

Notes

↑ Yahoo! Tuning Group | Antikythera

[1] Yahoo! Tuning Group | Antikythera

[1]

Jubilismic clan: Difference between revisions

Revision as of 14:16, 21 July 2025

Contents

Jubilic

Overview to extensions

Lemba

11-limit

13-limit

Astrology

11-limit

13-limit

Horoscope

Walid

11-limit

Antikythera

Doublewide

11-limit

Fleetwood

13-limit

Cavalier

13-limit

Elvis

11-limit

13-limit

Comic

11-limit

13-limit

Bipyth

11-limit

Sedecic

11-limit

Notes

Navigation menu

@@ Line 20: / Line 20: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~5/4 = 380.0086{{c}} (~8/7 = 219.9914{{c}})
 : error map: {{val| 0.000 -6.305 +11.183 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~5/4 = 379.210{{c}} (~8/7 = 220.890{{c}})
-: [[error map]]: {{val| 0.000 -7.104 +10.384 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~5/4 = 380.840{{c}} (~8/7 = 219.160{{c}})
-: error map: {{val| 0.000 -5.474 +12.014 }} -->
 {{Optimal ET sequence|legend=1| 2, 4, 6, 16, 22, 60d }}
@@ Line 68: / Line 64: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~8/7 = 232.2655{{c}}
 : error map: {{val| 0.000 -5.158 -18.579 -1.091 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~8/7 = 232.927{{c}}
-: [[error map]]: {{val| 0.000 -3.175 -19.241 -1.753 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~8/7 = 232.089{{c}}
-: error map: {{val| 0.000 -5.689 -18.402 -0.915 }} -->
 {{Optimal ET sequence|legend=1| 10, 16, 26, 36c, 62c }}
@@ Line 87: / Line 79: @@
 * WE: ~7/5 = 601.1769{{c}}, ~8/7 = 231.4273{{c}}
 * CWE: ~7/5 = 600.0000{{c}}, ~8/7 = 231.1781{{c}}
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~8/7 = 231.997{{c}}
-* POTE: ~7/5 = 600.000{{c}}, ~8/7 = 230.974{{c}} -->
 {{Optimal ET sequence|legend=0| 10, 16, 26 }}
@@ Line 104: / Line 94: @@
 * WE: ~7/5 = 601.1939{{c}}, ~8/7 = 231.4261{{c}}
 * CWE: ~7/5 = 600.0000{{c}}, ~8/7 = 231.1617{{c}}
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~8/7 = 232.100{{c}}
-* POTE: ~7/5 = 600.000{{c}}, ~8/7 = 230.966{{c}} -->
 {{Optimal ET sequence|legend=0| 10, 16, 26 }}
@@ Line 127: / Line 115: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~5/4 = 380.5123{{c}} (~8/7 = 219.4877{{c}})
 : error map: {{val| 0.000 +0.606 -5.801 +11.686 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~5/4 = 380.355{{c}} (~8/7 = 219.645{{c}})
-: [[error map]]: {{val| 0.000 -0.180 -5.959 +11.529 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~5/4 = 380.578{{c}} (~8/7 = 219.422{{c}})
-: error map: {{val| 0.000 +0.937 -5.735 +11.752 }} -->
 {{Optimal ET sequence|legend=1| 6, 16, 22, 60d }}
@@ Line 146: / Line 130: @@
 * WE: ~7/5 = 600.0538{{c}}, ~5/4 = 380.5640{{c}} (~8/7 = 219.4897{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~5/4 = 380.5419{{c}} (~8/7 = 219.4581{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~5/4 = 380.588 (~8/7 = 219.412{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~5/4 = 380.530 (~8/7 = 219.470{{c}}) -->
 {{Optimal ET sequence|legend=0| 6, 16, 22 }}
@@ Line 163: / Line 145: @@
 * WE: ~7/5 = 600.7886{{c}}, ~5/4 = 380.2857{{c}} (~8/7 = 220.5028{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~5/4 = 379.9119{{c}} (~8/7 = 220.0881{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~5/4 = 380.449{{c}} (~8/7 = 219.551{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~5/4 = 379.787{{c}} (~8/7 = 220.213{{c}}) -->
 {{Optimal ET sequence|legend=0| 6, 16, 22, 38f }}
@@ Line 183: / Line 163: @@
 * WE: ~7/5 = 599.8927{{c}}, ~5/4 = 379.7688{{c}} (~8/7 = 220.1239{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~5/4 = 379.8117{{c}} (~8/7 = 220.1883{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~5/4 = 379.762{{c}} (~8/7 = 220.238{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~5/4 = 379.837{{c}} (~8/7 = 220.163{{c}}) -->
 {{Optimal ET sequence|legend=0| 6f, 16, 22f, 38 }}
@@ Line 204: / Line 182: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~3/2 = 750.4026{{c}} (~15/14 = 150.4026{{c}})
 : error map: {{val| 0.000 +48.448 +63.284 +80.771 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~3/2 = 754.204{{c}} (~15/14 = 154.204{{c}})
-: [[error map]]: {{val| 0.000 +52.249 +59.482 +76.970 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~3/2 = 749.415{{c}} (~15/14 = 149.415{{c}})
-: error map: {{val| 0.000 +47.460 +64.271 +81.759 }} -->
 {{Optimal ET sequence|legend=1| 2, 6, 8d }}
@@ Line 223: / Line 197: @@
 * WE: ~7/5 = 589.7684{{c}}, ~3/2 = 736.9708{{c}} (~12/11 = 147.2023{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 750.5221{{c}} (~12/11 = 150.5221{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~3/2 = 754.205{{c}} (~12/11 = 154.205{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~3/2 = 749.756{{c}} (~12/11 = 149.756{{c}}) -->
 {{Optimal ET sequence|legend=0| 2, 6, 8d }}
@@ Line 250: / Line 222: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~9/8 = 214.6875{{c}}
 : error map: {{val| 0.000 +10.778 -1.001 +16.487 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~9/8 = 216.711{{c}}
-: [[error map]]: {{val| 0.000 +12.801 +3.025 +14.463 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~9/8 = 214.095{{c}}
-: error map: {{val| 0.000 +10.815 -0.409 +17.079 }} -->
 {{Optimal ET sequence|legend=1| 2, 4, 6, 16, 22, 28 }}
@@ Line 277: / Line 245: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~6/5 = 325.7353{{c}} (~7/6 = 274.2647{{c}})
 : error map: {{val| 0.000 +10.778 -1.001 +16.487 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~6/5 = 325.769{{c}} (~7/6 = 274.231{{c}})
-: [[error map]]: {{val| 0.000 +1.120 -9.007 +8.481 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~6/5 = 325.719{{c}} (~7/6 = 274.281{{c}})
-: error map: {{val| 0.000 +0.921 -9.156 +8.331 }} -->
 {{Optimal ET sequence|legend=1| 4, 14bd, 18, 22, 48 }}
@@ Line 296: / Line 260: @@
 * WE: ~7/5 = 600.1818{{c}}, ~6/5 = 325.6434{{c}} (~7/6 = 274.5384{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~6/5 = 325.5854{{c}} (~7/6 = 274.4146{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~6/5 = 325.719{{c}} (~7/6 = 274.281{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~6/5 = 325.545{{c}} (~7/6 = 274.455{{c}}) -->
 {{Optimal ET sequence|legend=0| 4, 18, 22, 48 }}
@@ Line 313: / Line 275: @@
 * WE: ~7/5 = 599.6049{{c}}, ~6/5 = 326.8229{{c}} (~7/6 = 272.7819{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~6/5 = 326.8890{{c}} (~7/6 = 273.1110{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~6/5 = 326.684{{c}} (~7/6 = 273.316{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~6/5 = 327.038{{c}} (~7/6 = 272.962{{c}}) -->
 {{Optimal ET sequence|legend=0| 4e, …, 18e, 22 }}
@@ Line 330: / Line 290: @@
 * WE: ~7/5 = 599.5482{{c}}, ~6/5 = 327.5939{{c}} (~7/6 = 271.9543{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~6/5 = 327.6706{{c}} (~7/6 = 272.3294{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~6/5 = 327.450{{c}} (~7/6 = 272.540{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~6/5 = 327.841{{c}} (~7/6 = 272.159{{c}}) -->
 {{Optimal ET sequence|legend=0| 4ef, …, 18e, 22 }}
@@ Line 347: / Line 305: @@
 * WE: ~7/5 = 600.9467{{c}}, ~6/5 = 323.9369{{c}} (~7/6 = 277.0098{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~6/5 = 323.7272{{c}} (~7/6 = 276.2728{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~6/5 = 324.238{{c}} (~7/6 = 275.762{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~6/5 = 323.427{{c}} (~7/6 = 276.573{{c}}) -->
 {{Optimal ET sequence|legend=0| 4e, 22e, 26 }}
@@ Line 364: / Line 320: @@
 * WE: ~7/5 = 600.9537{{c}}, ~6/5 = 323.9097{{c}} (~7/6 = 277.0440{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~6/5 = 323.6876{{c}} (~7/6 = 276.3124{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~6/5 = 324.187{{c}} (~7/6 = 275.813{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~6/5 = 323.396{{c}} (~7/6 = 276.604{{c}}) -->
 {{Optimal ET sequence|legend=0| 4ef, 22ef, 26 }}
@@ Line 387: / Line 341: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~64/45 = 646.0539{{c}} (~64/63 = 46.0539{{c}})
 : error map: {{val| 0.000 -9.847 -16.583 +0.904 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~64/45 = 645.313{{c}} (~64/63 = 45.313{{c}})
-: [[error map]]: {{val| 0.000 -11.329 -12.879 +4.609 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~64/45 = 646.279{{c}} (~64/63 = 46.279{{c}})
-: error map: {{val| 0.000 -9.397 -17.710 -0.222 }} -->
 {{Optimal ET sequence|legend=1| 2, 24c, 26 }}
@@ Line 406: / Line 356: @@
 * WE: ~7/5 = 601.2186{{c}}, ~16/11 = 647.4300{{c}} (~56/55 = 46.2114{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~16/11 = 645.9681{{c}} (~56/55 = 45.9681{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~16/11 = 645.343{{c}} (~56/55 = 45.343{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~16/11 = 646.118{{c}} (~56/55 = 46.118{{c}}) -->
 {{Optimal ET sequence|legend=0| 2, 24c, 26 }}
@@ Line 423: / Line 371: @@
 * WE: ~7/5 = 601.2206{{c}}, ~16/11 = 647.4219{{c}} (~56/55 = 46.2013{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~16/11 = 645.9362{{c}} (~56/55 = 45.9362{{c}})
-<!-- * CTE: ~7/5 = 600.000, ~16/11 = 645.208 (~56/55 = 45.208)
-* POTE: ~7/5 = 600.000, ~16/11 = 646.108 (~56/55 = 46.108) -->
 {{Optimal ET sequence|legend=0| 2f, 24cf, 26 }}
@@ Line 446: / Line 392: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~40/27 = 654.3329{{c}} (~28/27 = 54.3329{{c}})
 : error map: {{val| 0.000 -9.847 -16.583 +0.904 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~40/27 = 653.872{{c}} (~28/27 = 53.872{{c}})
-: [[error map]]: {{val| 0.000 +5.789 -9.211 +8.277 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~40/27 = 654.699{{c}} (~28/27 = 54.699{{c}})
-: error map: {{val| 0.000 +7.444 -3.417 +14.070 }} -->
 {{Optimal ET sequence|legend=1| 2cd, …, 20cd, 22 }}
@@ Line 465: / Line 407: @@
 * WE: ~7/5 = 598.8161{{c}}, ~22/15 = 653.8909{{c}} (~28/27 = 55.0747{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~22/15 = 654.7898{{c}} (~28/27 = 54.7898{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~22/15 = 654.289{{c}} (~28/27 = 54.289{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~22/15 = 655.184{{c}} (~28/27 = 55.184{{c}}) -->
 {{Optimal ET sequence|legend=0| 2cde, …, 20cde, 22 }}
@@ Line 482: / Line 422: @@
 * WE: ~7/5 = 600.1030{{c}}, ~22/15 = 654.5470{{c}} (~28/27 = 54.4440{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~22/15 = 654.4665{{c}} (~28/27 = 54.4665{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~22/15 = 654.547{{c}} (~28/27 = 54.547{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~22/15 = 654.435{{c}} (~28/27 = 54.435{{c}}) -->
 {{Optimal ET sequence|legend=0| 2cde, 20cde, 22 }}
@@ Line 505: / Line 443: @@
 * [[CWE]]: ~7/5 = 600.0000{{c}}, ~3/2 = 709.1579{{c}} (~15/14 = 109.1579{{c}})
 : error map: {{val| 0.000 -9.847 -16.583 +0.904 }}
-<!-- * [[CTE]]: ~7/5 = 600.000{{c}}, ~3/2 = 708.695{{c}} (~15/14 = 108.695{{c}})
-: [[error map]]: {{val| 0.000 +6.740 -8.058 +9.430 }}
-* [[POTE]]: ~7/5 = 600.000{{c}}, ~3/2 = 709.437{{c}} (~15/14 = 109.437{{c}})
-: error map: {{val| 0.000 +7.482 -1.379 +16.109 }} -->
 {{Optimal ET sequence|legend=1| 10cd, 12cd, 22 }}
@@ Line 524: / Line 458: @@
 * WE: ~7/5 = 599.2296{{c}}, ~3/2 = 708.3992{{c}} (~15/14 = 109.1697{{c}})
 * CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 709.1395{{c}} (~15/14 = 109.1395{{c}})
-<!-- * CTE: ~7/5 = 600.000{{c}}, ~3/2 = 708.813{{c}} (~15/14 = 108.813{{c}})
-* POTE: ~7/5 = 600.000{{c}}, ~3/2 = 709.310{{c}} (~15/14 = 109.310{{c}}) -->
 {{Optimal ET sequence|legend=0| 10cd, 12cde, 22 }}
@@ Line 543: / Line 475: @@
 * [[CWE]]: ~128/125 = 75.0000{{c}}, ~3/2 = 700.8957{{c}} (~525/512 = 25.8957{{c}})
 : error map: {{val| 0.000 -1.401 -11.314 +6.174 }}
-<!-- * [[CTE]]: ~128/125 = 75.000{{c}}, ~3/2 = 701.955{{c}} (~525/512 = 26.955{{c}})
-: [[error map]]: {{val| 0.000 0.000 -11.314 +6.174 }}
-* [[POTE]]: ~128/125 = 75.000{{c}}, ~3/2 = 700.554{{c}} (~525/512 = 25.554{{c}})
-: error map: {{val| 0.000 -1.401 -11.314 +6.174 }} -->
 {{Optimal ET sequence|legend=1| 16, 32, 48 }}
@@ Line 562: / Line 490: @@
 * WE: ~22/21 = 75.0000{{c}}, ~3/2 = 700.7810{{c}} (~45/44 = 25.3476{{c}})
 * CWE: ~22/21 = 75.0000{{c}}, ~3/2 = 700.6780{{c}} (~45/44 = 25.6780{{c}})
-<!-- * CTE: ~22/21 = 75.000{{c}}, ~3/2 = 701.844{{c}} (~45/44 = 26.844{{c}})
-* POTE: ~22/21 = 75.000{{c}}, ~3/2 = 700.331{{c}} (~45/44 = 25.331{{c}}) -->
 {{Optimal ET sequence|legend=0| 16, 32, 48 }}

Jubilismic clan: Difference between revisions

Revision as of 14:16, 21 July 2025

Jubilic

Overview to extensions

Lemba

11-limit

13-limit

Astrology

11-limit

13-limit

Horoscope

Walid

11-limit

Antikythera

Doublewide

11-limit

Fleetwood

13-limit

Cavalier

13-limit

Elvis

11-limit

13-limit

Comic

11-limit

13-limit

Bipyth

11-limit

Sedecic

11-limit

Notes

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