Glossary of scale properties: Difference between revisions
Adopt property names if possible (periodic scale -> periodicity). Style |
Copypaste some important properties from the Glossary page. + chirality |
||
| Line 35: | Line 35: | ||
=== C === | === C === | ||
; [[chirality]] | |||
: A scale is chiral if reversing the order of the steps results in a different scale up to rotation. | |||
; [[constant structure]] (CS) | ; [[constant structure]] (CS) | ||
: A scale is a constant structure if all intervals of the same size are also within the same generic interval class. A single interval cannot be a part of two classes. The 12-tone diatonic scale does not have this property, since tritones can either be augmented fourths or diminished fifths. This is referred to as the ''partitioning property'' in most academic literature. | : A scale is a constant structure if all intervals of the same size are also within the same generic interval class. A single interval cannot be a part of two classes. The 12-tone diatonic scale does not have this property, since tritones can either be augmented fourths or diminished fifths. This is referred to as the ''partitioning property'' in most academic literature. | ||
| Line 60: | Line 63: | ||
=== H === | === H === | ||
=== I === | === I === | ||
; [[interval variety]] | |||
: The number of different interval qualities available for an interval class in a [[#P|periodic scale]]. | |||
=== J === | === J === | ||
=== K === | === K === | ||
| Line 66: | Line 72: | ||
; [[maximal evenness]] | ; [[maximal evenness]] | ||
: A [[#P|periodic]] [[#B|binary]] scale is maximally even with respect to an [[equal-step tuning]] if it is the result of rounding a smaller equal tuning to the nearest notes of the parent equal tuning with the same equave. | : A [[#P|periodic]] [[#B|binary]] scale is maximally even with respect to an [[equal-step tuning]] if it is the result of rounding a smaller equal tuning to the nearest notes of the parent equal tuning with the same equave. | ||
; [[maximum variety]] (MV) | |||
: The maximum [[#I|interval variety]] from all interval classes of a [[#P|periodic scale]]. | |||
; Myhill's property and MOS | ; Myhill's property and MOS | ||
| Line 92: | Line 101: | ||
=== S === | === S === | ||
; [[strict variety]] (SV) | |||
: The [[#I|interval variety]] of all interval classes of a [[#P|periodic scale]], when all interval classes have the same interval variety. | |||
; symmetry | ; symmetry | ||
: A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes ''per period''. They may not always have an odd number of notes ''per octave'', however. The diatonic scale is symmetrical, but so is 12edo. | : A scale is symmetrical if at least one mode of the scale is symmetrical. Therefore, every interval of that mode must have an inverse. These scales will always have an odd number of notes ''per period''. They may not always have an odd number of notes ''per octave'', however. The diatonic scale is symmetrical, but so is 12edo. | ||