The Exciting Universe Of Music Theory

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Scale 353

Scale 353, 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

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).


Cardinality4 (tetratonic)
Pitch Class Set{0,5,6,8}
Forte Number4-Z29
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 209
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
prime: 139
Deep Scaleno
Interval Vector111111
Interval Spectrumpmnsdt
Distribution Spectra<1> = {1,2,4,5}
<2> = {3,6,9}
<3> = {7,8,10,11}
Spectra Variation3.5
Maximally Evenno
Maximal Area Setno
Interior Area1.366
Myhill Propertyno
Ridge Tonesnone

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}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.


Modes are the rotational transformation of this scale. Scale 353 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 139
Scale 139, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2117
Scale 2117: Raga Sumukam, Ian Ring Music TheoryRaga Sumukam
4th mode:
Scale 1553
Scale 1553, Ian Ring Music Theory


The prime form of this scale is Scale 139

Scale 139Scale 139, Ian Ring Music Theory


The tetratonic modal family [353, 139, 2117, 1553] (Forte: 4-Z29) is the complement of the octatonic modal family [751, 1913, 1943, 2423, 3019, 3259, 3557, 3677] (Forte: 8-Z29)


The inverse of a scale is a reflection using the root as its axis. The inverse of 353 is 209

Scale 209Scale 209, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 353 is chiral, and its enantiomorph is scale 209

Scale 209Scale 209, Ian Ring Music Theory


T0 353  T0I 209
T1 706  T1I 418
T2 1412  T2I 836
T3 2824  T3I 1672
T4 1553  T4I 3344
T5 3106  T5I 2593
T6 2117  T6I 1091
T7 139  T7I 2182
T8 278  T8I 269
T9 556  T9I 538
T10 1112  T10I 1076
T11 2224  T11I 2152

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 355Scale 355: Aeoloritonic, Ian Ring Music TheoryAeoloritonic
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 361Scale 361: Bocritonic, Ian Ring Music TheoryBocritonic
Scale 369Scale 369: Laditonic, Ian Ring Music TheoryLaditonic
Scale 321Scale 321, Ian Ring Music Theory
Scale 337Scale 337: Koptic, Ian Ring Music TheoryKoptic
Scale 289Scale 289, Ian Ring Music Theory
Scale 417Scale 417, Ian Ring Music Theory
Scale 481Scale 481, Ian Ring Music Theory
Scale 97Scale 97, Ian Ring Music Theory
Scale 225Scale 225, Ian Ring Music Theory
Scale 609Scale 609, Ian Ring Music Theory
Scale 865Scale 865, Ian Ring Music Theory
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 2401Scale 2401, 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 ( used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.