770:924:1155:1320:1680

1/(24:20:16:14:11), the subharmonic sixth-ninth chord, is a pentad in 11-limit harmony. It is the inverse of 4:5:6:7:11.

Chord information
Harmonics 770:924:1155:1320:1680
Subharmonics 1/(24:20:16:14:11)
Intervals from root 1/16/53/212/724/11
Cents from root 316¢702¢933¢1351¢
Step intervals 6/5, 5/4, 8/7, 14/11
Step cents 316¢, 386¢, 231¢, 418¢
Prime limit 11
Genus 35711 (1155)
Intervallic odd limit 11
Otonal odd limit 1155
Utonal odd limit 11
Consistent edos (d ≥ 1.5) 31edo, 46edo, 72edo*

This chord has a similar shape to 4:5:6:7:9, and can be obtained by inflecting the 5/4 down by 25/24, the 7/4 down by 49/48, and the 11/4 down by 33/32.


Edo approximations for 770:924:1155:1320:1680 
intervals: 6/5, 3/2, 12/7, 24/11 · ≤ 60edo, RMS rel. error ≤ 15%
  Edo Steps Cents (¢) Absolute errors (¢) RMS (¢) RMS (%)
9 0  2  5  7 10 0.00 266.67 666.67 933.33 1333.33 0.00 -48.97 -35.29  +0.20 -17.30 19.43 14.58
15 0  4  9 12 17 0.00 320.00 720.00 960.00 1360.00 0.00  +4.36 +18.04 +26.87  +9.36 9.66 12.08
22 0  6 13 17 25 0.00 327.27 709.09 927.27 1363.64 0.00 +11.63  +7.14  -5.86 +13.00 7.14 13.10
31 0  8 18 24 35 0.00 309.68 696.77 929.03 1354.84 0.00  -5.96  -5.18  -4.10  +4.20 3.81 9.84
37 0 10 22 29 42 0.00 324.32 713.51 940.54 1362.16 0.00  +8.68 +11.56  +7.41 +11.53 4.24 13.06
41 0 11 24 32 46 0.00 321.95 702.44 936.59 1346.34 0.00  +6.31  +0.48  +3.46  -4.30 3.56 12.16
46 0 12 27 36 52 0.00 313.04 704.35 939.13 1356.52 0.00  -2.60  +2.39  +6.00  +5.88 3.34 12.81
58 0 15 34 45 65 0.00 310.34 703.45 931.03 1344.83 0.00  -5.30  +1.49  -2.09  -5.81 2.86 13.84