User:Moremajorthanmajor/16edX
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16edX is the scale which occurs as the dominant reformed Mixolydian mode. It also gives the period of the 16th-decade Roccocavallo branch of the Carrera temperament family.
Intervals
| Decade | Period | Notes |
|---|---|---|
| 6\5 | 90.000 | Intense Aeolian-Subpental Dorian mode begins |
| 17\14 | 91.071 | |
| 11\9 | 91.6 | Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins |
| 16\13 | 92.308 | |
| 5\4 | 93.750 | Subpental Dorian mode ends, Pental Dorian mode begins |
| 24\19 | 94.737 | |
| 19\15 | 95.000 | |
| 14\11 | 95.45 | Pental Dorian mode ends, Superpental Dorian mode begins |
| 23\18 | 95.83 | |
| 9\7 | 96.429 | Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins |
| 31\24 | 96.875 | |
| 22\17 | 97.059 | Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins |
| 35\27 | 97.2 | |
| 13\10 | 97.500 | Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins |
| 17\13 | 98.077 | |
| 21\16 | 98.4375 | Subpental Mixolydian mode ends, Pental Mixolydian mode begins |
| 25\19 | 98.684 | |
| 29\22 | 98.863 | |
| 33\25 | 99.000 | |
| 4\3 | 100.000 | Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins |
| 19\14 | 101.786 | |
| 15\11 | 102.27 | Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins |
| 26\19 | 102.632 | |
| 11\8 | 103.125 | Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins |
| 18\13 | 103.846 | |
| 25\18 | 104.16 | |
| 7\5 | 105.000 | Mixolydian-Ionian mode ends |
Relative cents
| Degrees | Enneatonic | Intense Aeolian-Subpental Dorian | Dorian | Dorian-Mixolydian | ||
|---|---|---|---|---|---|---|
| 1 | 1#/2b | G#/Jb | G#/Ab | 90.625 | 93.75 | 96.875 |
| 2 | 2 | J | A | 181.25 | 187.5 | 193.75 |
| 3 | 2#/3b | J#/Ab | A#/Bb | 271.875 | 281.25 | 290.625 |
| 4 | 3 | J | B | 362.5 | 375 | 387.5 |
| 5 | 3#/4b | J#/Ab | B#/Cb | 453.125 | 468.75 | 484.375 |
| 6 | 4 | A | C | 543.75 | 562.5 | 581.25 |
| 7 | 5 | A#/Bb | C#/Qb | 633.375 | 656.25 | 678.125 |
| 8 | 5#/6b | B | Q | 725 | 750 | 775 |
| 9 | 6 | C | D | 815.625 | 843.75 | 871.875 |
| 10 | 6#/7b | C#/Db | D#/Sb | 906.25 | 937.5 | 968.75 |
| 11 | 7 | D | S | 996.875 | 1031.25 | 1065.625 |
| 12 | 7#/8b | D#/Eb | S#/Eb | 1087.5 | 1125 | 1162.5 |
| 13 | 8 | E | 1178.125 | 1218.75 | 1259.375 | |
| 14 | 8#/9b | E#/Fb | 1268.75 | 1312.5 | 1356.25 | |
| 15 | 9 | F | 1359.375 | 1406.25 | 1453.125 | |
| 16 | 1 | G | 1450 | 1500 | 1550 | |
| Degrees | Enneatonic | Subpental-Soft Superpental Mixolydian | Intense Superpental Mixolydian ~ Mixolydian-Ionian | ||
|---|---|---|---|---|---|
| 1 | 1#/2b | F#/Gb | 100 | 103.125 | |
| 2 | 2 | G | 200 | 206.25 | |
| 3 | 2#/3b | G#/Jb | G#/Ab | 300 | 309.375 |
| 4 | 3 | J | A | 400 | 412.5 |
| 5 | 3#/4b | J#/Ab | A#/Bb | 500 | 515.625 |
| 6 | 4 | A | B | 600 | 618.75 |
| 7 | 5 | B | H | 700 | 721.875 |
| 8 | 5#/6b | B#/Hb | H#/Cb | 800 | 825 |
| 9 | 6 | H | C | 900 | 928.125 |
| 10 | 6#/7b | H#/Cb | C#/Db | 1000 | 1031.25 |
| 11 | 7 | C | D | 1100 | 1134.375 |
| 12 | 7#/8b | C#/Db | D#/Sb | 1200 | 1237.5 |
| 13 | 8 | D | S | 1300 | 1340.625 |
| 14 | 8#/9b | D#/Eb | S#/Eb | 1400 | 1443.75 |
| 15 | 9 | E | 1500 | 1546.875 | |
| 16 | 1 | F | 1600 | 1650 | |
By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.686 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of 110edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.