Eliora

My temperaments of interest, ordered by absolute step size:

I hope I can do some music with these at some point in future.

• 15edo
• 36ed5
• 27edt
• 28edo
• 100ed10
• 35edo
• 36edo
• 54edo
• 60edo
• 69edo
• 84edo
• 91edo
• 97edo
• 256ed5
• 118edo
• 293edo
• 353edo
• 360edo
• 420edo
• 441edo
• 576edo
• 666edo
• 1080edo
• 1395edo
• 1789edo
• 1794edo
• 2016edo
• 5040edo

• Intercalary leap tunings based on things like 16/15ths equal temperament where an octave has an alternating number of steps like a calendar year

Subpages

Solar Calendar Leap Rule scales

Intercalary temperaments

Proposed temperament names

Temperament names proposed by me.

Protactinium (364 & 1547)

Subgroup: 17-limit

Comma list: 14400:14399, 42500:42471, 50575:50544, 75735:75712, 131648:131625,

POTE Generator: 3.1240¢

Lockerbie (103 & 270)

By far the most just-intonation-useful of what I proposed.

Subgroup: 17-limit

Comma list: 715/714, 936/935, 1001/1000, 1225/1224, 7744/7735

POTE Generator: 431.1087¢

Reenactment (188 & 360)

The name of the temperament comes from the YouTube Pooper cs188, and his fan and his YTP reenactor radicalfaith360.

Subgroup: 2.29.53.59.61.71.97

Mapping: [ ⟨4 11 27 22 25 20 31] ⟨0 33 -16 6 -5 18 -18] ⟩

Comma list: 7912969/7908832, 16115651/16098799, 24001792/23973647, 25915781/25905602, 283836416/283565741

POTE Generator: 76.6549¢ (~23 degrees)

Periods per octave: 4 (= 90 degrees per period)

MOS Scales in 360edo:

12L 4s - 23 23 23 21 23 23 23 21 23 23 23 21 23 23 23 21

16L 12s - 21 2 21 2 21 2 21 21 2 21 2 21 2 21 21 2 21 2 21 2 21 21 2 21 2 21 2 21

Jamala (1944 & 2016)

This temperament's name derives from a song 1944 by Ukrainian singer Jamala, which entered Eurovision Song Contest in 2016. Also, both of these numbers are significantly composite.

Subgroup: 2.5.11.13.19.41.47

Mapping: [⟨72 167 249 266 306 386 400], ⟨0 5 2 12 -4 -7 -2]⟩

Comma list: 545710/545623, 2502280/2501369, 4981295/4980736, 7167784/7167655, 47012251/47000000

POTE Generator: 0.6019¢

Periods per octave: 72

Error: 0.016129¢ per octave

Burning World (1794 & 2016)

Subgroup: 2.5.11.13.19.41.47

Comma list: 2502280/2501369, 3693448/3693157, 4981295/4980736, 47703761456/47700744025, 1188892815539/1188265280000

POTE Generator: 64.8811¢

Periods per octave: 6

Error: 0.018437 cents/octave

Dreamliner (787 & 9)

Subgroup: 23-limit

Comma list: 875/874, 969/968, 2432/2431, 3060/3059, 3381/3380, 5175/5168, 10830/10829

POTE Generator: 266.8374¢

Terror / !a!ek!unta||edui (38 & 311)

Subgroup: 29-limit

Comma list: 760/759, 1105/1104, 1450/1449, 2002/2001, 2205/2204, 2875/2871, 5985/5984, 21175/21141

Mapping: [1 23 22 -27 46 -29 31 41 -3 -29⟩, [0 -74 -68 103 -147 113 -93 -127 26 117⟩

POTE Generator: ~11/9 = 347.2663¢