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Scale 2627

Scale 2627, 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{0,1,6,9,11}
Forte Number5-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2123
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 151
Deep Scaleno
Interval Vector222121
Interval Spectrump2mn2s2d2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {2,3,5,6,8}
<3> = {4,6,7,9,10}
<4> = {7,9,10,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.683
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Minor Triadsf♯m{6,9,1}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 2627. Created by Ian Ring ©2019 f#° f#° f#m f#m f#°->f#m

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 2627 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3361
Scale 3361, Ian Ring Music Theory
3rd mode:
Scale 233
Scale 233, Ian Ring Music Theory
4th mode:
Scale 541
Scale 541, Ian Ring Music Theory
5th mode:
Scale 1159
Scale 1159, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 151

Scale 151Scale 151, Ian Ring Music Theory

Complement

The pentatonic modal family [2627, 3361, 233, 541, 1159] (Forte: 5-Z36) is the complement of the heptatonic modal family [367, 1777, 1931, 2231, 3013, 3163, 3629] (Forte: 7-Z36)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2627 is 2123

Scale 2123Scale 2123, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2627 is chiral, and its enantiomorph is scale 2123

Scale 2123Scale 2123, Ian Ring Music Theory

Transformations:

T0 2627  T0I 2123
T1 1159  T1I 151
T2 2318  T2I 302
T3 541  T3I 604
T4 1082  T4I 1208
T5 2164  T5I 2416
T6 233  T6I 737
T7 466  T7I 1474
T8 932  T8I 2948
T9 1864  T9I 1801
T10 3728  T10I 3602
T11 3361  T11I 3109

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 2625Scale 2625, Ian Ring Music Theory
Scale 2629Scale 2629: Raga Shubravarni, Ian Ring Music TheoryRaga Shubravarni
Scale 2631Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2659Scale 2659: Katynimic, Ian Ring Music TheoryKatynimic
Scale 2563Scale 2563, Ian Ring Music Theory
Scale 2595Scale 2595: Rolitonic, Ian Ring Music TheoryRolitonic
Scale 2691Scale 2691, Ian Ring Music Theory
Scale 2755Scale 2755, Ian Ring Music Theory
Scale 2883Scale 2883, Ian Ring Music Theory
Scale 2115Scale 2115, Ian Ring Music Theory
Scale 2371Scale 2371, Ian Ring Music Theory
Scale 3139Scale 3139, Ian Ring Music Theory
Scale 3651Scale 3651, Ian Ring Music Theory
Scale 579Scale 579, Ian Ring Music Theory
Scale 1603Scale 1603, 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. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.