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* Intercalary leap tunings based on things like [[16/15ths equal temperament]] where an octave has an alternating number of steps like a calendar year
* Intercalary leap tunings based on things like [[16/15ths equal temperament]] where an octave has an alternating number of steps like a calendar year
{{primes in edo|777|columns=20}}


== Subpages ==
== Subpages ==
Line 46: Line 44:
The name of the temperament comes from the YouTube Pooper cs188, and his fan and his YTP reenactor radicalfaith360.
The name of the temperament comes from the YouTube Pooper cs188, and his fan and his YTP reenactor radicalfaith360.


Subgroup: 2.5.7.13.19
Subgroup: 2.29.53.59.61.71.97


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


POTE Generator: 76.6543¢
Comma list: 7912969/7908832, 16115651/16098799, 24001792/23973647, 25915781/25905602, 283836416/283565741
 
POTE Generator: 76.6549¢ (~23 degrees)


Periods per octave: 4
Periods per octave: 4
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# [[1789edo]]
# [[1789edo]]
# [[293edo]]
# [[293edo]]
== Determing Reenactment temperament ==
{{Primes in edo|188|columns=25}}{{Primes in edo|360|columns=25}}

Revision as of 21:20, 24 April 2022

My temperaments of interest, ordered by absolute step size:

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

  • 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.

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

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¢

New album project

  1. 118edo
  2. 1619edo
  3. 400edo
  4. 231edo
  5. 576edo
  6. 2016edo
  7. Hg spectrum + 1080edo
  8. 69edo
  9. 91edo
  10. 84edo
  11. 353edo
  12. 1789edo
  13. 293edo