Chain of fifths: Difference between revisions
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{{Wikipedia|Circle of fifths}} | {{Wikipedia|Circle of fifths}} | ||
The '''circle of fifths''' is a tool to show and measure relationships between chords or key signatures. It's commonly used (and known) in [[12edo]] but applicable to all EDOs that map the fifth to a number of steps that is co-prime to the EDO number itself; so when traversing these EDOs by fifth-steps, all intervals will be visited. See for example the intervals in [[7edo]]: (0, 4, 1, 5, 2, 6, 3)\7. Other EDOs have more than one circle of fifths, [[10edo]] for example has two of | The '''circle of fifths''' is a tool to show and measure relationships between chords or key signatures. It's commonly used (and known) in [[12edo]] but applicable to all EDOs that map the fifth to a number of steps that is co-prime to the EDO number itself; so when traversing these EDOs by fifth-steps, all intervals will be visited. See for example the intervals in [[7edo]]: (0, 4, 1, 5, 2, 6, 3)\7. Other EDOs have more than one circle of fifths, [[10edo]] for example has two of them: (0, 6, 2, 8, 4)\10 and (1, 7, 3, 9, 5)\10. [[15edo]] has three distinct circles of fifths: (0 9 3 12 6)\15, (1 10 4 13 7)\15, and (2 11 5 14 8)\15. | ||
== See also == | == See also == | ||