The Exciting Universe Of Music Theory

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Scale 183

Scale 183, 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).


Cardinality6 (hexatonic)
Pitch Class Set{0,1,2,4,5,7}
Forte Number6-Z11
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3489
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Deep Scaleno
Interval Vector333231
Interval Spectrump3m2n3s3d3t
Distribution Spectra<1> = {1,2,5}
<2> = {2,3,6,7}
<3> = {4,5,7,8}
<4> = {5,6,9,10}
<5> = {7,10,11}
Spectra Variation3.667
Maximally Evenno
Maximal Area Setno
Interior Area1.866
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
Major TriadsC{0,4,7}110.5
Diminished Triadsc♯°{1,4,7}110.5
Parsimonious Voice Leading Between Common Triads of Scale 183. Created by Ian Ring ©2019 C C c#° c#° C->c#°

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.



Modes are the rotational transformation of this scale. Scale 183 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 2139
Scale 2139, Ian Ring Music Theory
3rd mode:
Scale 3117
Scale 3117, Ian Ring Music Theory
4th mode:
Scale 1803
Scale 1803, Ian Ring Music Theory
5th mode:
Scale 2949
Scale 2949, Ian Ring Music Theory
6th mode:
Scale 1761
Scale 1761, Ian Ring Music Theory


This is the prime form of this scale.


The hexatonic modal family [183, 2139, 3117, 1803, 2949, 1761] (Forte: 6-Z11) is the complement of the hexatonic modal family [303, 753, 1929, 2199, 3147, 3621] (Forte: 6-Z40)


The inverse of a scale is a reflection using the root as its axis. The inverse of 183 is 3489

Scale 3489Scale 3489, Ian Ring Music Theory


Only scales that are chiral will have an enantiomorph. Scale 183 is chiral, and its enantiomorph is scale 3489

Scale 3489Scale 3489, Ian Ring Music Theory


T0 183  T0I 3489
T1 366  T1I 2883
T2 732  T2I 1671
T3 1464  T3I 3342
T4 2928  T4I 2589
T5 1761  T5I 1083
T6 3522  T6I 2166
T7 2949  T7I 237
T8 1803  T8I 474
T9 3606  T9I 948
T10 3117  T10I 1896
T11 2139  T11I 3792

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 181Scale 181: Raga Budhamanohari, Ian Ring Music TheoryRaga Budhamanohari
Scale 179Scale 179, Ian Ring Music Theory
Scale 187Scale 187, Ian Ring Music Theory
Scale 191Scale 191, Ian Ring Music Theory
Scale 167Scale 167, Ian Ring Music Theory
Scale 175Scale 175, Ian Ring Music Theory
Scale 151Scale 151, Ian Ring Music Theory
Scale 215Scale 215, Ian Ring Music Theory
Scale 247Scale 247, Ian Ring Music Theory
Scale 55Scale 55, Ian Ring Music Theory
Scale 119Scale 119, Ian Ring Music Theory
Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic
Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian
Scale 695Scale 695: Sarian, Ian Ring Music TheorySarian
Scale 1207Scale 1207: Aeoloptian, Ian Ring Music TheoryAeoloptian
Scale 2231Scale 2231: Macrian, Ian Ring Music TheoryMacrian

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.