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Cardinality | 4 (tetratonic) |
---|---|
Pitch Class Set | {0,1,2,6} |
Forte Number | 4-5 |
Rotational Symmetry | none |
Reflection Axes | none |
Palindromic | no |
Chirality | yes enantiomorph: 3137 |
Hemitonia | 2 (dihemitonic) |
Cohemitonia | 1 (uncohemitonic) |
Imperfections | 3 |
Modes | 3 |
Prime? | yes |
Deep Scale | no |
Interval Vector | 210111 |
Interval Spectrum | pmsd2t |
Distribution Spectra | <1> = {1,4,6} <2> = {2,5,7,10} <3> = {6,8,11} |
Spectra Variation | 4.5 |
Maximally Even | no |
Maximal Area Set | no |
Interior Area | 0.933 |
Myhill Property | no |
Balanced | no |
Ridge Tones | none |
Propriety | Improper |
Heliotonic | no |
There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.
Modes are the rotational transformation of this scale. Scale 71 can be rotated to make 3 other scales. The 1st mode is itself.
This is the prime form of this scale.
The tetratonic modal family [71, 2083, 3089, 449] (Forte: 4-5) is the complement of the octatonic modal family [479, 1991, 2287, 3043, 3191, 3569, 3643, 3869] (Forte: 8-5)
The inverse of a scale is a reflection using the root as its axis. The inverse of 71 is 3137
Scale 3137 | ![]() |
Only scales that are chiral will have an enantiomorph. Scale 71 is chiral, and its enantiomorph is scale 3137
Scale 3137 | ![]() |
T0 | 71 | T0I | 3137 | |||||
T1 | 142 | T1I | 2179 | |||||
T2 | 284 | T2I | 263 | |||||
T3 | 568 | T3I | 526 | |||||
T4 | 1136 | T4I | 1052 | |||||
T5 | 2272 | T5I | 2104 | |||||
T6 | 449 | T6I | 113 | |||||
T7 | 898 | T7I | 226 | |||||
T8 | 1796 | T8I | 452 | |||||
T9 | 3592 | T9I | 904 | |||||
T10 | 3089 | T10I | 1808 | |||||
T11 | 2083 | T11I | 3616 |
These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.
Scale 69 | ![]() | |||
Scale 67 | ![]() | |||
Scale 75 | ![]() | |||
Scale 79 | ![]() | |||
Scale 87 | ![]() | |||
Scale 103 | ![]() | |||
Scale 7 | ![]() | |||
Scale 39 | ![]() | |||
Scale 135 | ![]() | |||
Scale 199 | ![]() | Raga Nabhomani | ||
Scale 327 | ![]() | Syptitonic | ||
Scale 583 | ![]() | Aeritonic | ||
Scale 1095 | ![]() | Phrythitonic | ||
Scale 2119 | ![]() |
This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.
Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO
Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.