Low-complexity just intonation: Difference between revisions
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Mentioned 15-odd-limit as a possible boundary of LCJI |
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'''Low-complexity JI''' (or '''LCJI''' or '''low JI''') is a term often used for a style of JI that is based on a restricted set of simple JI intervals (such as 3/2, 4/3, 5/4, 6/5, 7/4, 7/6, 9/8, 11/8, 13/8, 15/8); higher complexity ratios may be [[generate]]d by such a set, but are not used directly and are only reached by modulating away from the original key. There is no universal boundary for LCJI, but 15-[[odd limit|odd-limit]] is a good candidate. This term is used in opposition to higher-harmonic-series JI approaches such as [[primodality]], [[neji]]s, and [[8th Octave Overtone Tuning|higher harmonic tuning]]. | '''Low-complexity JI''' (or '''LCJI''' or '''low JI''') is a term often used for a style of JI that is based on a restricted set of simple JI intervals (such as 3/2, 4/3, 5/4, 6/5, 7/4, 7/6, 9/8, 11/8, 13/8, 15/8); higher complexity ratios may be [[generate]]d by such a set, but are not used directly and are only reached by modulating away from the original key. There is no universal boundary for LCJI, but 15-[[odd limit|odd-limit]] is a good candidate. This term is used in opposition to higher-harmonic-series JI approaches such as [[primodality]], [[neji]]s, and [[8th Octave Overtone Tuning|higher harmonic tuning]]. | ||
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Revision as of 04:10, 9 March 2022
Low-complexity JI (or LCJI or low JI) is a term often used for a style of JI that is based on a restricted set of simple JI intervals (such as 3/2, 4/3, 5/4, 6/5, 7/4, 7/6, 9/8, 11/8, 13/8, 15/8); higher complexity ratios may be generated by such a set, but are not used directly and are only reached by modulating away from the original key. There is no universal boundary for LCJI, but 15-odd-limit is a good candidate. This term is used in opposition to higher-harmonic-series JI approaches such as primodality, nejis, and higher harmonic tuning.