Tp tuning: Difference between revisions
"Proportional error" is commonly known as damage. Edit to reflect that |
"Rationally independent" is wrong. Recte primes and prime powers |
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* The second is called '''subgroup T<sub>''p''</sub>''', because it treats the temperament as a restriction of a full prime-limit temperament to a subgroup of the prime-limit. Subgroup T<sub>''p''</sub> does not depend on the basis used for the subgroup, and as stated, extends naturally to the T<sub>''p''</sub> tuning of the full prime-limit temperament. | * The second is called '''subgroup T<sub>''p''</sub>''', because it treats the temperament as a restriction of a full prime-limit temperament to a subgroup of the prime-limit. Subgroup T<sub>''p''</sub> does not depend on the basis used for the subgroup, and as stated, extends naturally to the T<sub>''p''</sub> tuning of the full prime-limit temperament. | ||
The two notions agree exactly when the temperament is defined on a JI subgroup with a basis consisting of | The two notions agree exactly when the temperament is defined on a JI subgroup with a basis consisting of prime and prime power members (examples: 2.3.5 and 2.9.5; nonexample: 2.9.5.21 and 2.3.13/5). | ||
== Definition == | == Definition == | ||