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In music, 88 equal temperament is the scale derived by dividing the octave into 88 equally large steps.
[edit] Interval size
Here are the sizes of some common intervals and comparison with the ratios arising in the harmonic series; the difference column measures in cents the distance from an exact fit to these ratios.
The matches to small-number ratios in this system are quite poor, especially when compared to other equal temperaments with smaller numbers of divisions of the octave, such as 72-ET or 53-ET. This system has been used and studied not for its close match to ratios but for its other theoretical properties. Using 14 steps as the Large interval (L) and 9 steps as the small interval (s), 88edo gives a close approximation to the diatonic scale LLsLLLs of Lucy tuning, which is derived from pi, and considers integer frequency ratios, as landmarks, which generate beating, rather than musical "harmonics".
[edit] References
- Tuning Digest, #349, Internet mailing list. [1]
[edit] See also