Juggernaut: Difference between revisions
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Juggernaut contains multi-[[MOS scale]]s of the families [[4L 2s (5/1-equivalent)|4L 2s]], [[4L 6s (5/1-equivalent)|4L 6s]], [[10L 4s (5/1-equivalent)|10L 4s]], [[14L 10s (5/1-equivalent)|14L 10s]], and [[24L 14s (5/1-equivalent)|24L 14s]]. The 6-note MOS is rendered unusable because it has very large melodic steps (it corresponds to to 6*log(2)/log(5) ≈ 2.6 note octave-repeating scale) and contains too little 5:7:11 chords for the usage in no-twos-or-threes harmony. | Juggernaut contains multi-[[MOS scale]]s of the families [[4L 2s (5/1-equivalent)|4L 2s]], [[4L 6s (5/1-equivalent)|4L 6s]], [[10L 4s (5/1-equivalent)|10L 4s]], [[14L 10s (5/1-equivalent)|14L 10s]], and [[24L 14s (5/1-equivalent)|24L 14s]]. The 6-note MOS is rendered unusable because it has very large melodic steps (it corresponds to to 6*log(2)/log(5) ≈ 2.6 note octave-repeating scale) and contains too little 5:7:11 chords for the usage in no-twos-or-threes harmony. | ||
== Intervals == | |||
{| class="wikitable center-1 right-2 right-4" | |||
! rowspan="2" | # gens | |||
! colspan="2" | Period 0 | |||
! colspan="2" | Period 1 | |||
|- | |||
! Cents* | |||
! Approximate Ratios | |||
! Cents | |||
! Approximate Ratios | |||
|- | |||
| 0 | |||
| 0.000 | |||
| 1/1 | |||
| 600.000 | |||
| 7/5, 10/7 | |||
|- | |||
| 1 | |||
| 230.966 | |||
| '''8/7''' | |||
| 830.966 | |||
| '''8/5''', '''13/8''' | |||
|- | |||
| 2 | |||
| 461.932 | |||
| 21/16, 13/10 | |||
| 1061.932 | |||
| 11/6, 15/8, 24/13 | |||
|- | |||
| 3 | |||
| 692.898 | |||
| '''3/2''' | |||
| 92.898 | |||
| 15/14 | |||
|- | |||
| 4 | |||
| 923.864 | |||
| 12/7, 22/13 | |||
| 323.864 | |||
| 6/5, 39/32 | |||
|- | |||
| 5 | |||
| 1154.830 | |||
| 48/25, 63/32, 96/48 | |||
| 554.830 | |||
| '''11/8''' | |||
|- | |||
| 6 | |||
| 185.796 | |||
| 9/8 | |||
| 785.796 | |||
| 11/7 | |||
|- | |||
| 7 | |||
| 416.762 | |||
| 9/7 | |||
| 1016.762 | |||
| 9/5 | |||
|- | |||
| 8 | |||
| 647.728 | |||
| 36/25 | |||
| 47.728 | |||
| 33/32, 36/35 | |||
|} | |||
<nowiki>*</nowiki> In 13-limit POTE tuning. This tuning is very close to [[26edo]]. | |||
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