Stellar remnants

This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex, or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations, or conceptual frameworks.

Stellar remnants are a collection of various temperaments, predominatly of 2.3.7.11.101 subgroup, which temper out 7777/7776 - the pulsar comma.

White dwarf

White dwarf is defined as a 135 & 836 temperament.

Subgroup: 2.3.7.11.101

Comma list: 7777/7776, 43923/43904, 5767168/5764801

Sval mapping: ⟨⟨1 -4 3 5 -23]], ⟨⟨0 29 -1 -8 154]]

Optimal tuning (CTE): ~7/4 = 968.898

Optimal ET sequence: 135, 836, ...

Neutron star

Neutron star is defined as a 342 & 1012 temperament.

Subgroup: 2.3.7.11.101.

Comma list: 7777/7776, 117649/117612, 2541867610898/2541865828329

Sval mapping: [⟨2 26 42 59 39], ⟨0 -32 -51 -73 -36]]

Sval mapping generators: ~1594323/1127357 = 1\2, ~242/189 = 428.063

Optimal tuning (CTE): ~242/189 = 428.063

Optimal ET sequence: 342, 1012, ...