# Vavoom family

(Redirected from Vavoom)

The vavoom family includes temperaments that temper out the vavoom comma ([-68 18 17).

## Vavoom

Subgroup: 2.3.5

Comma list: [-68 18 17

Mapping: [1 0 4], 0 17 -18]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8765

Todo: review
For all below temperaments: Normalize the comma lists. Work out the optimal ET sequences and badnesses.

## Doubloon

Subgroup: 2.3.5.7

Mapping: [1 0 4 7], 0 17 -18 -45]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8391

Recommended ETs: 118, 161

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 441/440, 3136/3125, 5632/5625, 35937/35840, 43923/43750, 43923/43904

Mapping: [1 0 4 7 7], 0 17 -18 -45 -38]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8563

Recommended ETs: 43, 118

#### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 441/440, 1001/1000, 1188/1183, 1575/1573, 1701/1690, 3136/3125, 3267/3250, 3584/3575

Mapping: [1 0 4 7 7 1], 0 17 -18 -45 -38 29]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8193

Recommended ETs: 118, 161

## Kaboom

Subgroup: 2.3.5.7

Mapping: [1 0 4 -4], 0 17 -18 73]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8782

Recommended ETs: 118, 311

### 11-limit

Subgroup: 2.3.5.7.11

Mapping: [1 0 4 -4 -4], 0 17 -18 73 80]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8930

Recommended ETs: 75, 118

#### 13-limit

Subgroup: 2.3.5.7.11.13

Mapping: [1 0 4 -4 -4 12], 0 17 -18 73 80 -89]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8979

Recommended ETs: 118, 311

## Vacuum

Subgroup: 2.3.5.7

Comma list: 4375/4374, [-68, 18, 17, 0⟩, [-69, 11, 21, 1⟩, [-67, 25, 13, -1⟩

Mapping: [1 0 4 -15], 0 17 -18 191]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8950

Recommended ETs: 118, 665

### Vortex

Subgroup: 2.3.5.7.11

Mapping: [1 0 4 -15 -4], 0 17 -18 191 80]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8786

Recommended ETs: 118, 547

### Void

Subgroup: 2.3.5.7.11

Mapping: [1 0 4 -15 -15], 0 17 -18 191 198]]

mapping generators: ~2, ~16/15

Optimal tuning (POTE): ~2 = 1\1, ~16/15 = 111.8770

Recommended ETs: 118, 665