# Ripple family

(Redirected from Ripple)

The ripple family tempers out the ripple, 6561/6250 = [-1 8 -5, which equates a stack of four 10/9's with 8/5. As one might expect, 12edo is about as accurate as it can be.

## Ripple

Subgroup: 2.3.5

Comma list: 6561/6250

Mapping: [1 2 3], 0 -5 -8]]

POTE generator: ~27/25 = 100.838

• 5-odd-limit diamond monotone: [92.308, 109.091] (1\13 to 1\11)
• 5-odd-limit diamond tradeoff: [99.609, 105.214]
• 5-odd-limit diamond monotone and tradeoff: [99.609, 105.214]

## Septimal ripple

Subgroup: 2.3.5.7

Comma list: 36/35, 2560/2401

Mapping: [1 2 3 3], 0 -5 -8 -2]]

Wedgie⟨⟨5 8 2 1 -11 -18]]

POTE generator: ~21/20 = 99.483

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 36/35, 80/77, 126/121

Mapping: [1 2 3 3 4], 0 -5 -8 -2 -6]]

POTE generator: ~21/20 = 99.385

Optimal GPV sequence: 12

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 36/35, 40/39, 66/65, 147/143

Mapping: [1 2 3 3 4 4], 0 -5 -8 -2 -6 -3]]

POTE generator: ~21/20 = 98.572

Optimal GPV sequence: 12f

## Hemiripple

Subgroup: 2.3.5.7

Comma list: 49/48, 6561/6250

Mapping: [1 2 3 3], 0 -10 -16 -5]]

Wedgie⟨⟨10 16 5 2 -20 -33]]

POTE generator: ~36/35 = 50.826

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 49/48, 121/120, 567/550

Mapping: [1 2 3 3 4], 0 -10 -16 -5 -13]]

POTE generator: ~36/35 = 50.826

Optimal GPV sequence: 23de, 24, 47de, 71bdde

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 66/65, 121/120, 351/350

Mapping: [1 2 3 3 4 4], 0 -10 -16 -5 -13 -7]]

POTE generator: ~36/35 = 50.635

Optimal GPV sequence: 23de, 24, 47de, 71bdde

## Cohemiripple

Subgroup: 2.3.5.7

Comma list: 245/243, 1323/1250

Mapping: [1 7 11 12], 0 -10 -16 -17]]

Wedgie⟨⟨10 16 17 2 -1 -5]]

POTE generator: ~7/5 = 549.944

### 11-limit

Subgroup: 2.3.5.7.11

Comma list: 77/75, 243/242, 245/242

Mapping: [1 7 11 12 17], 0 -10 -16 -17 -25]]

POTE generator: ~7/5 = 549.945

Optimal GPV sequence: 11cdee, 13cdee, 24

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 66/65, 77/75, 147/143, 243/242

Mapping: [1 7 11 12 17 14], 0 -10 -16 -17 -25 -19]]

POTE generator: ~7/5 = 549.958

Optimal GPV sequence: 11cdeef, 13cdeef, 24