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Scale 3553

Scale 3553, 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

Cardinality7 (heptatonic)
Pitch Class Set{0,5,6,7,8,10,11}
Forte Number7-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 247
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 239
Deep Scaleno
Interval Vector543342
Interval Spectrump4m3n3s4d5t2
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6}
<3> = {3,4,7}
<4> = {5,8,9}
<5> = {6,9,10}
<6> = {7,10,11}
Spectra Variation3.429
Maximally Evenno
Maximal Area Setno
Interior Area1.933
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 Triadsfm{5,8,0}110.5
Diminished Triads{5,8,11}110.5
Parsimonious Voice Leading Between Common Triads of Scale 3553. Created by Ian Ring ©2019 fm fm f°->fm

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 3553 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 239
Scale 239, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2167
Scale 2167, Ian Ring Music Theory
4th mode:
Scale 3131
Scale 3131, Ian Ring Music Theory
5th mode:
Scale 3613
Scale 3613, Ian Ring Music Theory
6th mode:
Scale 1927
Scale 1927, Ian Ring Music Theory
7th mode:
Scale 3011
Scale 3011, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 239

Scale 239Scale 239, Ian Ring Music Theory

Complement

The heptatonic modal family [3553, 239, 2167, 3131, 3613, 1927, 3011] (Forte: 7-5) is the complement of the pentatonic modal family [143, 481, 2119, 3107, 3601] (Forte: 5-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3553 is 247

Scale 247Scale 247, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3553 is chiral, and its enantiomorph is scale 247

Scale 247Scale 247, Ian Ring Music Theory

Transformations:

T0 3553  T0I 247
T1 3011  T1I 494
T2 1927  T2I 988
T3 3854  T3I 1976
T4 3613  T4I 3952
T5 3131  T5I 3809
T6 2167  T6I 3523
T7 239  T7I 2951
T8 478  T8I 1807
T9 956  T9I 3614
T10 1912  T10I 3133
T11 3824  T11I 2171

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 3555Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3521Scale 3521, Ian Ring Music Theory
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3297Scale 3297, Ian Ring Music Theory
Scale 3809Scale 3809, Ian Ring Music Theory
Scale 4065Scale 4065, Ian Ring Music Theory
Scale 2529Scale 2529, Ian Ring Music Theory
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 1505Scale 1505, 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.