Chromatic pairs: Difference between revisions

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A '''chromatic pair''' is a pair of [[MOS scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.

The phrase ''chromatic pair'' refers to a pair of [[MOS scale|moment-of-symmetry scales]] in some rank-2 temperament (or [[Just intonation subgroups|subgroup temperament]]) that are analogous to the familiar diatonic and chromatic scales of standard tuning. The smaller scale is referred to as "albitonic" (from the Latin word for "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is "chromatic", analogous to the chromatic scale of standard tuning. A third type of related scale are "haplotonic" scales (from the ~~Greek word for "single" or "simple")~~, ~~analogous to~~ the ~~pentatonic scale of standard tuning and played using the black keys of a piano. The~~ pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups.

In the sections below, the pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups.

== Terrain ==

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+A '''chromatic pair''' is a pair of [[MOS scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
-The phrase ''chromatic pair'' refers to a pair of [[MOS scale|moment-of-symmetry scales]] in some rank-2 temperament (or [[Just intonation subgroups|subgroup temperament]]) that are analogous to the familiar diatonic and chromatic scales of standard tuning. The smaller scale is referred to as "albitonic" (from the Latin word for "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is "chromatic", analogous to the chromatic scale of standard tuning. A third type of related scale are "haplotonic" scales (from the Greek word for "single" or "simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano. The pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups.
+In the sections below, the pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups.
 == Terrain ==