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Scale 71

Scale 71, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Analysis

Cardinality4 (tetratonic)
Pitch Class Set{0,1,2,6}
Forte Number4-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3137
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes3
Prime?yes
Deep Scaleno
Interval Vector210111
Interval Spectrumpmsd2t
Distribution Spectra<1> = {1,4,6}
<2> = {2,5,7,10}
<3> = {6,8,11}
Spectra Variation4.5
Maximally Evenno
Maximal Area Setno
Interior Area0.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.

Modes

Modes are the rotational transformation of this scale. Scale 71 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 2083
Scale 2083, Ian Ring Music Theory
3rd mode:
Scale 3089
Scale 3089, Ian Ring Music Theory
4th mode:
Scale 449
Scale 449, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

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)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 71 is 3137

Scale 3137Scale 3137, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 71 is chiral, and its enantiomorph is scale 3137

Scale 3137Scale 3137, Ian Ring Music Theory

Transformations:

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

Nearby Scales:

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 69Scale 69, Ian Ring Music Theory
Scale 67Scale 67, Ian Ring Music Theory
Scale 75Scale 75, Ian Ring Music Theory
Scale 79Scale 79, Ian Ring Music Theory
Scale 87Scale 87, Ian Ring Music Theory
Scale 103Scale 103, Ian Ring Music Theory
Scale 7Scale 7, Ian Ring Music Theory
Scale 39Scale 39, Ian Ring Music Theory
Scale 135Scale 135, Ian Ring Music Theory
Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani
Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic
Scale 583Scale 583: Aeritonic, Ian Ring Music TheoryAeritonic
Scale 1095Scale 1095: Phrythitonic, Ian Ring Music TheoryPhrythitonic
Scale 2119Scale 2119, Ian Ring Music Theory

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.