Jove

Revision as of 18:30, 10 February 2026 by FloraC (talk | contribs) (Jove isn't canonical w.r.t. breed)

The rank-3 jove temperament tempers out the breedsma, 2401/2400, in the 7-limit, the rastma, 243/242, the werckisma, 441/440, and the swetisma, 540/539, in the 11-limit.

Jove
Subgroups 2.3.5.7.11
Comma basis 243/242, 441/440 (11-limit)
Reduced mapping ⟨1; 2 1 1 5; 0 2 1 0]
ET join 31 & 41 & 58
Generators (CWE) ~11/9 = 350.5 ¢, ~10/7 = 617.9 ¢
MOS scales n/a
Ploidacot n/a
Pergen (P8, P5/2, c^^M7/4)
Color name Bizozoguti
Minimax error 9-odd-limit: 0.18 ¢;
11-limit 21-odd-limit: 2.86 ¢
Target scale size 9-odd-limit: ? notes;
11-limit 21-odd-limit: ? notes

See Breed family #Jove for more technical data.

Interval lattice

Chords

Jove enables essentially tempered chords of rastmic, werckismic, swetismic, and jove.

Scales

See Jove scales.

Tuning spectrum

This table assumes pure 2 and 11.

Gencom: [2 11/9 10/7; 243/242 441/440 351/350]

Gencom mapping: [1 1 1 2 2 2], 0 2 1 1 5 -3], 0 0 2 1 0 5]]

Eigenmonzo
(Unchanged-interval)
Major
Third (¢)
Comments
9/7 381.677
10/9 383.458 11-odd-limit minimax
7/6 384.533
6/5 384.886
7/5 385.239
18/13 385.649 13- and 15-odd-limit jovis minimax
15/13 386.157
13/12 386.220
5/4 386.314
14/13 386.642
16/13 386.791
13/10 387.109
8/7 387.388
16/15 387.742
15/14 388.095

Music