# Semiphore family

(Redirected from Selenium)

Semiphore family is a rank-3 temperament family of 2.3.5.7 that tempers out 49/48 and thereby identifies the septimal minor third, 7/6, and the septimal whole tone, 8/7. It also splits the fourth into two of these intervals; hence the name, which sounds like "semi-fourth". Related to this is the 2.3.7-limit 49/48 temperament called "semaphore", and the 2.3.5.7 49/48 and 81/80 temperament called "godzilla".

## Semiphore

Subgroup: 2.3.5.7

Comma list: 49/48

Mapping[1 0 2 2], 0 2 0 1], 0 0 1 0]]

mapping generators: ~2, ~7/4, ~5

Lattice basis:

7/6 length = 0.7627, 5/4 length = 2.322
Angle (7/6, 5/4) = 90 degrees

Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 949.6154, ~5/4 = 379.7035

## Selenium

Subgroup: 2.3.5.7.11

Comma list: 49/48, 56/55

Mapping[1 0 2 2 5], 0 2 0 1 1], 0 0 1 0 -1]]

Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 951.7290, ~5/4 = 390.6487

Optimal ET sequence4, 5, 9, 10, 15, 19, 24, 34

### 13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 56/55, 91/90

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

Optimal tuning (POTE): ~2 = 1\1, ~7/4 = 951.2441, ~5/4 = 389.5957

## Negric

Subgroup: 2.3.5.7.11

Comma list: 49/48, 225/224

Mapping[1 2 2 3 0], 0 -4 3 -2 0], 0 0 0 0 1]]

Optimal tuning (POTE): ~2 = 1\1, ~15/14 = 125.6080, ~11/8 = 539.2342