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Scale 2077

Scale 2077, 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

41161837294116105072918310504116183
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

Cardinality5 (pentatonic)
Pitch Class Set{0,2,3,4,11}
Forte Number5-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1795
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes4
Prime?no
prime: 55
Deep Scaleno
Interval Vector322210
Interval Spectrumpm2n2s2d3
Distribution Spectra<1> = {1,2,7}
<2> = {2,3,8}
<3> = {4,9,10}
<4> = {5,10,11}
Spectra Variation4.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2077 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1543
Scale 1543, Ian Ring Music Theory
3rd mode:
Scale 2819
Scale 2819, Ian Ring Music Theory
4th mode:
Scale 3457
Scale 3457, Ian Ring Music Theory
5th mode:
Scale 59
Scale 59, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 55

Scale 55Scale 55, Ian Ring Music Theory

Complement

The pentatonic modal family [2077, 1543, 2819, 3457, 59] (Forte: 5-3) is the complement of the heptatonic modal family [319, 1009, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2077 is 1795

Scale 1795Scale 1795, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2077 is chiral, and its enantiomorph is scale 1795

Scale 1795Scale 1795, Ian Ring Music Theory

Transformations:

T0 2077  T0I 1795
T1 59  T1I 3590
T2 118  T2I 3085
T3 236  T3I 2075
T4 472  T4I 55
T5 944  T5I 110
T6 1888  T6I 220
T7 3776  T7I 440
T8 3457  T8I 880
T9 2819  T9I 1760
T10 1543  T10I 3520
T11 3086  T11I 2945

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 2079Scale 2079, Ian Ring Music Theory
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2075Scale 2075, Ian Ring Music Theory
Scale 2069Scale 2069, Ian Ring Music Theory
Scale 2061Scale 2061, Ian Ring Music Theory
Scale 2093Scale 2093, Ian Ring Music Theory
Scale 2109Scale 2109, Ian Ring Music Theory
Scale 2141Scale 2141, Ian Ring Music Theory
Scale 2205Scale 2205: Ionocrimic, Ian Ring Music TheoryIonocrimic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2589Scale 2589, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 29Scale 29, Ian Ring Music Theory
Scale 1053Scale 1053, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.