# Maja family

(Redirected from Maja)

The maja family of rank-2 temperaments tempers out the maja comma, [-3 -23 17 = 762939453125/753145430616.

Maja was named by Petr Pařízek in 2011 for 13/10 is a generator and that M and J are the 13th letter and the 10th letter, respectively[1]. It is unrelated to either the major quality or magic temperament.

## Maja

Subgroup: 2.3.5

Comma list: 762939453125/753145430616

Mapping[1 8 11], 0 -17 -23]]

Optimal tuning (POTE): ~2 = 1\1, ~125/81 = 747.198

## Septimal maja

Subgroup: 2.3.5.7

Comma list: 2430/2401, 3125/3087

Mapping[1 8 11 13], 0 -17 -23 -27]]

Wedgie⟨⟨17 23 27 -3 -5 -2]]

Optimal tuning (POTE): ~2 = 1\1, ~125/81 = 747.145

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 99/98, 121/120, 3125/3087

Mapping: [1 8 11 13 11], 0 -17 -23 -27 -20]]

Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.100

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 99/98, 121/120, 169/168, 275/273

Mapping: [1 8 11 13 11 12], 0 -17 -23 -27 -20 -22]]

Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.095

## Majo

Subgroup: 2.3.5.7

Comma list: 6144/6125, 1250000/1240029

Mapping[1 8 11 -7], 0 -17 -23 26]]

Wedgie⟨⟨17 23 -26 -3 -89 -125]]

Optimal tuning (POTE): ~2 = 1\1, ~125/81 = 747.264

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 2200/2187, 3388/3375, 6144/6125

Mapping: [1 8 11 -7 31], 0 -17 -23 26 -73]]

Optimal tuning (POTE): ~2 = 1\1, ~77/50 = 747.287

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 325/324, 352/351, 1001/1000, 2704/2695

Mapping: [1 8 11 -7 31 12], 0 -17 -23 26 -73 -22]]

Optimal tuning (POTE): ~2 = 1\1, ~20/13 = 747.286