60th-octave temperaments

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60edo is a highly composite edo, and some its multiples are notable for their consistency limits, such as 2460edo, which is a zeta record edo.

See minutes and neodymium.

Magnetismic microtemperaments

All these temperaments temper out the magnetisma, a 2.3.29.43 subgroup comma which when tempered sets the 87/86 interval to 1/60th of the octave, and thus all these temperaments have a period that maps to 87/86.

Neodymium magnet

An extension of neodymium. Defined just as neodymium in 1920 & 4380, except adds a mapping for 29 and 43 via the fact that 87/86 is very close to 1/60th of the octave. And thus the extension is called "neodymium magnet". Defined starting with 2.3.5.29.43 all the way into the 2.3.5.7.11.13.17.19.23.29.43 subgroup, and unlike plain neodymium, addition of .29.43 harmonics saves it from contorsion.

Subgroup: 2.3.5.29.43

Comma list: 46235367/46225000, [-3 13 -5 1 -2, [29 20 -35 2 2

Sval mapping: 60 4 30 -164 -221], 0 5 6 25 30]

Sval mapping generators: ~87/86, ~7533637632/6103515625

Optimal tuning (CTE): ~7533637632/6103515625 = 364.385

Optimal ET sequence540jn, 1380jn, 1920, 2460, 3000jjnn, 3840jn, 4920jn 4380, 6300, 6840

2.3.5.7.29.43 subgroup

Subgroup: 2.3.5.7.29.43

Comma list: 250047/250000, 6890625/6889472, 634230/634207, 104487018125/104485552128

Sval mapping: 60 4 30 132 -164 -221], 0 5 6 2 25 30]

Sval mapping generators: ~87/86, ~216/175

Optimal tuning (CTE): ~216/175 = 364.385

2.3.5.7.11.29.43 subgroup

Subgroup: 2.3.5.7.11.29.43

Comma list: 7425/7424, 9801/9800, 250047/250000, 2278125/2277968, 10320758525/10319560704

Sval mapping: 60 4 30 132 244 -164 -221], 0 5 6 2 -2 25 30]

Sval mapping generators: ~87/86, ~216/175

Optimal tuning (CTE): ~216/175 = 364.385

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