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Primodality emphasizes subtle timbral effects, as opposed to lower-complexity JI identities such as 4:5:6:7:9 that are more common in composite modes. Mode p and Mode 2p (called respectively the ''first'' and ''second octaves of /p'') are considered the most important for the identity of /p; those intervals are the most recognizable as distinct identities. For any prime p, the set of harmonics from p to 2p is unique in the sense that the sets {p/p, ..., 2p/p} and {n/n, ..., 2n/n} only intersect at {1/1, 2/1} for any positive integer n < p. Similarly, the second octaves of p and the second octave of any n < p only intersect at {1/1, 3/2, 2/1}. | Primodality emphasizes subtle timbral effects, as opposed to lower-complexity JI identities such as 4:5:6:7:9 that are more common in composite modes. Mode p and Mode 2p (called respectively the ''first'' and ''second octaves of /p'') are considered the most important for the identity of /p; those intervals are the most recognizable as distinct identities. For any prime p, the set of harmonics from p to 2p is unique in the sense that the sets {p/p, ..., 2p/p} and {n/n, ..., 2n/n} only intersect at {1/1, 2/1} for any positive integer n < p. Similarly, the second octaves of p and the second octave of any n < p only intersect at {1/1, 3/2, 2/1}. | ||
=== Neji === | |||
A '''neji''' (for "near-equal JI") is an overtone series approximation of an [[EDO]]. | |||
Nejis can be used to explore a prime family, while keeping the transposability, scale structures, rank-2 harmonic theory, notation, etc. associated with that edo. | |||
Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale. | Zhea Erose's theory also deals with modulations between different prime families, and combining different prime families into one scale. | ||
=== Music === | |||
*[https://youtu.be/ZIn6uis5duw Zhea Erose - Novemdeca (in a 12-note 19-primodal scale)] | *[https://youtu.be/ZIn6uis5duw Zhea Erose - Novemdeca (in a 12-note 19-primodal scale)] | ||
*[https://youtu.be/ZSUdXVI0tO0 Zhea Erose - Pandelia (in 2*17-primodal + 3/2)] | *[https://youtu.be/ZSUdXVI0tO0 Zhea Erose - Pandelia (in 2*17-primodal + 3/2)] | ||
*[https://youtu.be/KpiOqPr4m9M benyamind - A Story (in the Novemdeca tuning)] | *[https://youtu.be/KpiOqPr4m9M benyamind - A Story (in the Novemdeca tuning)] | ||
=== See also === | |||
*[[User:IlL/Inthar's primodality impressions|Inthar's primodality impressions]] | *[[User:IlL/Inthar's primodality impressions|Inthar's primodality impressions]] | ||