47-limit

Prime limit

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← 43-limit  47-limit  53-limit →

The 47-limit consists of just intonation intervals whose ratios contain no prime factors higher than 47. It is the 15th prime limit and is a superset of the 43-limit and a subset of the 53-limit.

These things are contained by the 47-limit, but not the 43-limit:

• The 47-, 49-, and 51-odd-limit;
• Mode 24, 25 and 26 of the harmonic or subharmonic series.

It is the highest prime limit that can be represented with Helmholtz–Ellis notation.

Music

Randy Wells

• End Permian: The Great Dying (2022)
• End Cretaceous - Begin Paleocene (2022)
• End Anthropocene: A Once Beautiful Creation (2022)