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Scale 77

Scale 77, 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{0,2,3,6}
Forte Number4-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1601
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes3
Prime?yes
Deep Scaleno
Interval Vector112101
Interval Spectrummn2sdt
Distribution Spectra<1> = {1,2,3,6}
<2> = {3,4,8,9}
<3> = {6,9,10,11}
Spectra Variation4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 77 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1043
Scale 1043, Ian Ring Music Theory
3rd mode:
Scale 2569
Scale 2569, Ian Ring Music Theory
4th mode:
Scale 833
Scale 833, Ian Ring Music Theory

Prime

This is the prime form of this scale.

Complement

The tetratonic modal family [77, 1043, 2569, 833] (Forte: 4-12) is the complement of the octatonic modal family [763, 1631, 2009, 2429, 2863, 3479, 3787, 3941] (Forte: 8-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 77 is 1601

Scale 1601Scale 1601, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 77 is chiral, and its enantiomorph is scale 1601

Scale 1601Scale 1601, Ian Ring Music Theory

Transformations:

T0 77  T0I 1601
T1 154  T1I 3202
T2 308  T2I 2309
T3 616  T3I 523
T4 1232  T4I 1046
T5 2464  T5I 2092
T6 833  T6I 89
T7 1666  T7I 178
T8 3332  T8I 356
T9 2569  T9I 712
T10 1043  T10I 1424
T11 2086  T11I 2848

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 79Scale 79, Ian Ring Music Theory
Scale 73Scale 73, Ian Ring Music Theory
Scale 75Scale 75, Ian Ring Music Theory
Scale 69Scale 69, Ian Ring Music Theory
Scale 85Scale 85, Ian Ring Music Theory
Scale 93Scale 93, Ian Ring Music Theory
Scale 109Scale 109, Ian Ring Music Theory
Scale 13Scale 13, Ian Ring Music Theory
Scale 45Scale 45, Ian Ring Music Theory
Scale 141Scale 141, Ian Ring Music Theory
Scale 205Scale 205, Ian Ring Music Theory
Scale 333Scale 333: Bogitonic, Ian Ring Music TheoryBogitonic
Scale 589Scale 589: Ionalitonic, Ian Ring Music TheoryIonalitonic
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic
Scale 2125Scale 2125, 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.