Semaphoresmic clan

Revision as of 02:27, 17 March 2021 by FloraC (talk | contribs) (Hemiripple: improve link)

This clan tempers out the slendro diesis, 49/48, a triprime comma with factors of 2, 3 and 7.

Discussed elsewhere are baba, decimal, beep, blacksmith, godzilla, triforce, superpelog, negri, nautilus, keemun, and immunity.

Semaphore

Period: 1\1

Optimal (POTE) generator: ~7/6 = 250.385

EDO generators: 3\14, 4\19, 5\24, 6\29

Scales (Scala files): semaphore5, semaphore9, semaphore14

Technical data

Subgroup: 2.3.7

Comma list: 49/48

Mapping: [1 0 2], 0 2 1]]

Mapping generators: ~2, ~7/4

Gencom mapping: [1 2 0 3], 0 -2 0 -1]]

Gencom: [2 7/6; 49/48]

Template:Val list

Nuke

Period: 1\1

Optimal (POTE) generator: ~16/15 = 80.9538

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 49/48, 3584/3375

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

Template:Val list

Badness: 0.1293

11-limit

Period: 1\1

Optimal (POTE) generator: ~16/15 = 80.8171

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11

Comma list: 49/48, 77/75, 512/495

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

Template:Val list

Badness: 0.0694

13-limit

Period: 1\1

Optimal (POTE) generator: ~16/15 = 81.024

EDO generators: 1\14, 1\15

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 66/65, 77/75, 448/429

Mapping: [1 2 2 3 3 4], 0 -6 5 -3 7 -4]]

Template:Val list

Badness: 0.0486

Hemiripple

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7

Comma list: 49/48, 6561/6250

Mapping: [1 2 3 3], 0 -10 -16 -5]]

Wedgie⟨⟨ 10 16 5 2 -20 -33 ]]

Template:Val list

Badness: 0.1751

11-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.826

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11

Comma list: 49/48, 121/120, 567/550

Mapping: [1 2 3 3 4], 0 -10 -16 -5 -13]]

Template:Val list

Badness: 0.0668

13-limit

Period: 1\1

Optimal (POTE) generator: ~36/35 = 50.635

EDO generators: 1\23, 1\24

Scales (Scala files):

Technical data

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 66/65, 121/120, 351/350

Mapping: [1 2 3 3 4 4], 0 -10 -16 -5 -13 -7]]

Template:Val list

Badness: 0.0466