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Scale 2183

Scale 2183, 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{0,1,2,7,11}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3107
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?no
prime: 143
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2183 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3139
Scale 3139, Ian Ring Music Theory
3rd mode:
Scale 3617
Scale 3617, Ian Ring Music Theory
4th mode:
Scale 241
Scale 241, Ian Ring Music Theory
5th mode:
Scale 271
Scale 271, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 143

Scale 143Scale 143, Ian Ring Music Theory

Complement

The pentatonic modal family [2183, 3139, 3617, 241, 271] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2183 is 3107

Scale 3107Scale 3107, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2183 is chiral, and its enantiomorph is scale 3107

Scale 3107Scale 3107, Ian Ring Music Theory

Transformations:

T0 2183  T0I 3107
T1 271  T1I 2119
T2 542  T2I 143
T3 1084  T3I 286
T4 2168  T4I 572
T5 241  T5I 1144
T6 482  T6I 2288
T7 964  T7I 481
T8 1928  T8I 962
T9 3856  T9I 1924
T10 3617  T10I 3848
T11 3139  T11I 3601

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 2181Scale 2181, Ian Ring Music Theory
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic
Scale 2191Scale 2191: Thydimic, Ian Ring Music TheoryThydimic
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2215Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
Scale 2247Scale 2247: Raga Vijayasri, Ian Ring Music TheoryRaga Vijayasri
Scale 2055Scale 2055, Ian Ring Music Theory
Scale 2119Scale 2119, Ian Ring Music Theory
Scale 2311Scale 2311: Raga Kumarapriya, Ian Ring Music TheoryRaga Kumarapriya
Scale 2439Scale 2439, Ian Ring Music Theory
Scale 2695Scale 2695, Ian Ring Music Theory
Scale 3207Scale 3207, Ian Ring Music Theory
Scale 135Scale 135, Ian Ring Music Theory
Scale 1159Scale 1159, 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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.