Papers by Paul Erlich

Paul Erlich, the innovative musical theorist, has written several papers including:

the Middle Path between Just Intonations and equal temperaments which describes a variety of two-dimensional musical systems,

a generalization of diatonic scales with special focus on 22-tone equal temperament,

the Forms of Tonality, which illustrates the concepts of tone-lattices, scales, periodicity and notational systems for 5-limit and 7-limit music,

and this gentle introduction to periodicity blocks.

In addition, Paul developed the notion of harmonic entropy, which is described in some detail in an Appendix of Tuning Timbre Spectrum Scale as well as here.

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