Xenharmlib (music theory library) adds support for Just Intonation
Just Intonation / Prime Limit Tunings¶ Just Intonation refers to tunings that are based on “pure intervals”. A pure interval is characterized by a fraction of two integers, e.g. \(\frac{3}{2}\). Historically, most tuning systems were based on Just Intonation.
- ▪Just Intonation / Prime Limit Tunings¶ Just Intonation refers to tunings that are based on “pure intervals”.
- ▪A pure interval is characterized by a fraction of two integers, e.g. \(\frac{3}{2}\).
- ▪Historically, most tuning systems were based on Just Intonation.
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| Original publisher | xenharmlib |
| Canonical URL | https://xenharmlib.readthedocs.io/en/latest/whats_new_0_4_0.html |
| Publication time | Tue, 28 Jul 2026 16:10:37 +0000 |
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Just Intonation / Prime Limit Tunings¶ Just Intonation refers to tunings that are based on “pure intervals”. A pure interval is characterized by a fraction of two integers, e.g. \(\frac{3}{2}\). Historically, most tuning systems were based on Just Intonation. It was not until the 18th and 19th centuries that equal temperament systems began to gain widespread acceptance in practice. Xenharmlib now introduces support for Just Intonation with the Prime Limit Tuning construct: from xenharmlib import PrimeLimitTuning limit11 = PrimeLimitTuning(11) A Pythagorean 12-tone chromatic scale can, for example, now be generated by stacking 5 ascending pure fifths and 6 descending pure fifths from the root pitch: from xenharmlib import PrimeLimitTuning from xenharmlib import periodic pythagorean =…
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