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Scale 737

Scale 737, 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{0,5,6,7,9}
Forte Number5-Z36
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 233
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
Major TriadsF{5,9,0}110.5
Diminished Triadsf♯°{6,9,0}110.5
Parsimonious Voice Leading Between Common Triads of Scale 737. Created by Ian Ring ©2019 F F f#° f#° F->f#°

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 737 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 151
Scale 151, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2123
Scale 2123, Ian Ring Music Theory
4th mode:
Scale 3109
Scale 3109, Ian Ring Music Theory
5th mode:
Scale 1801
Scale 1801, 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 [737, 151, 2123, 3109, 1801] (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 737 is 233

Scale 233Scale 233, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 737 is chiral, and its enantiomorph is scale 233

Scale 233Scale 233, Ian Ring Music Theory

Transformations:

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

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 739Scale 739: Rorimic, Ian Ring Music TheoryRorimic
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 745Scale 745: Kolimic, Ian Ring Music TheoryKolimic
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 705Scale 705, Ian Ring Music Theory
Scale 721Scale 721: Raga Dhavalashri, Ian Ring Music TheoryRaga Dhavalashri
Scale 673Scale 673, Ian Ring Music Theory
Scale 609Scale 609, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 993Scale 993, Ian Ring Music Theory
Scale 225Scale 225, Ian Ring Music Theory
Scale 481Scale 481, Ian Ring Music Theory
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1761Scale 1761, Ian Ring Music Theory
Scale 2785Scale 2785, 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.