The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2337

Scale 2337, 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

Cardinality4 (tetratonic)
Pitch Class Set{0,5,8,11}
Forte Number4-18
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 147
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections3
Modes3
Prime?no
prime: 147
Deep Scaleno
Interval Vector102111
Interval Spectrumpmn2dt
Distribution Spectra<1> = {1,3,5}
<2> = {4,6,8}
<3> = {7,9,11}
Spectra Variation3
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2337 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 201
Scale 201, Ian Ring Music Theory
3rd mode:
Scale 537
Scale 537, Ian Ring Music Theory
4th mode:
Scale 579
Scale 579, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 147

Scale 147Scale 147, Ian Ring Music Theory

Complement

The tetratonic modal family [2337, 201, 537, 579] (Forte: 4-18) is the complement of the octatonic modal family [879, 1779, 1947, 2487, 2937, 3021, 3291, 3693] (Forte: 8-18)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2337 is 147

Scale 147Scale 147, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2337 is chiral, and its enantiomorph is scale 147

Scale 147Scale 147, Ian Ring Music Theory

Transformations:

T0 2337  T0I 147
T1 579  T1I 294
T2 1158  T2I 588
T3 2316  T3I 1176
T4 537  T4I 2352
T5 1074  T5I 609
T6 2148  T6I 1218
T7 201  T7I 2436
T8 402  T8I 777
T9 804  T9I 1554
T10 1608  T10I 3108
T11 3216  T11I 2121

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 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika
Scale 2341Scale 2341: Raga Priyadharshini, Ian Ring Music TheoryRaga Priyadharshini
Scale 2345Scale 2345: Raga Chandrakauns, Ian Ring Music TheoryRaga Chandrakauns
Scale 2353Scale 2353: Raga Girija, Ian Ring Music TheoryRaga Girija
Scale 2305Scale 2305, Ian Ring Music Theory
Scale 2321Scale 2321: Zyphic, Ian Ring Music TheoryZyphic
Scale 2369Scale 2369, Ian Ring Music Theory
Scale 2401Scale 2401, Ian Ring Music Theory
Scale 2465Scale 2465: Raga Devaranjani, Ian Ring Music TheoryRaga Devaranjani
Scale 2081Scale 2081, Ian Ring Music Theory
Scale 2209Scale 2209, Ian Ring Music Theory
Scale 2593Scale 2593, Ian Ring Music Theory
Scale 2849Scale 2849, Ian Ring Music Theory
Scale 3361Scale 3361, Ian Ring Music Theory
Scale 289Scale 289, Ian Ring Music Theory
Scale 1313Scale 1313, 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.