Hewuermera temperaments

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.

Hewuermera rank two temperaments temper out the hewuermera comma, 589824/588245 = [16 2 -1 -6⟩ (satribiru-agu), the amount by which a stack of six 8/7s exceed 20/9 (minor whole tone 10/9 plus an octave).

Temperaments dicussed elsewhere include:

• Cynder
• Pogo
• Hemiwürschmidt
• Hemipental
• Casablanca
• Slender
• Gamera
• Septiquarter
• Eris
• Bosonic

Hemidimfi

The hemidimfi (130&193) has a generator of 304.6 cents (about a half of 64/45 tritone) and tempers out the hewuermera (589824/588245) and the breeze comma (2460375/2458624).

Subgroup: 2.3.5.7

Comma list: 589824/588245, 2460375/2458624

Mapping: [⟨1 -4 14 -1], ⟨0 22 -46 15]]

POTE generator: ~343/288 = 304.639

Optimal ET sequence: 63, 130, 323, 453, 776

Badness: 0.083491

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 12005/11979, 16384/16335

Mapping: [⟨1 -4 14 -1 6], ⟨0 22 -46 15 -10]]

POTE generator: ~105/88 = 304.641

Optimal ET sequence: 63, 130, 193, 323e

Badness: 0.052236

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 364/363, 540/539, 676/675, 4096/4095

Mapping: [⟨1 -4 14 -1 6 7], ⟨0 22 -46 15 -10 -13]]

POTE generator: ~105/88 = 304.639

Optimal ET sequence: 63, 130, 193, 323e, 453e, 776eef

Badness: 0.030433