Subgroup monzos and vals: Difference between revisions
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A '''subgroup val''' is like a standard val, but the entries are the mappings of subgroup basis elements rather than strictly of primes (and can be derived from a standard val by applying the val to the basis intervals). Since converting to a subgroup val loses information, there is no clear way to convert a subgroup val back to a standard val. | A '''subgroup val''' is like a standard val, but the entries are the mappings of subgroup basis elements rather than strictly of primes (and can be derived from a standard val by applying the val to the basis intervals). Since converting to a subgroup val loses information, there is no clear way to convert a subgroup val back to a standard val. | ||
For example, the subgroup val 2.3.7 ⟨5 8 14] tells you that prime 2 is mapped to 5 steps, prime 3 is mapped to 8 steps, and prime 7 is mapped to 14 steps, without specifying a mapping for 5. | |||
For short, a subgroup monzo may be referred to as an '''smonzo''', and a subgroup val may be referred to as an '''sval'''. | For short, a subgroup monzo may be referred to as an '''smonzo''', and a subgroup val may be referred to as an '''sval'''. | ||