The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2317

Scale 2317, 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{0,2,3,8,11}
Forte Number5-16
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1555
Hemitonia2 (dihemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes4
Prime?no
prime: 155
Deep Scaleno
Interval Vector213211
Interval Spectrumpm2n3sd2t
Distribution Spectra<1> = {1,2,3,5}
<2> = {3,4,6,8}
<3> = {4,6,8,9}
<4> = {7,9,10,11}
Spectra Variation3.6
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2317 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 1603
Scale 1603, Ian Ring Music Theory
3rd mode:
Scale 2849
Scale 2849, Ian Ring Music Theory
4th mode:
Scale 217
Scale 217, Ian Ring Music Theory
5th mode:
Scale 539
Scale 539, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 155

Scale 155Scale 155, Ian Ring Music Theory

Complement

The pentatonic modal family [2317, 1603, 2849, 217, 539] (Forte: 5-16) is the complement of the heptatonic modal family [623, 889, 1939, 2359, 3017, 3227, 3661] (Forte: 7-16)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2317 is 1555

Scale 1555Scale 1555, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2317 is chiral, and its enantiomorph is scale 1555

Scale 1555Scale 1555, Ian Ring Music Theory

Transformations:

T0 2317  T0I 1555
T1 539  T1I 3110
T2 1078  T2I 2125
T3 2156  T3I 155
T4 217  T4I 310
T5 434  T5I 620
T6 868  T6I 1240
T7 1736  T7I 2480
T8 3472  T8I 865
T9 2849  T9I 1730
T10 1603  T10I 3460
T11 3206  T11I 2825

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 2319Scale 2319, Ian Ring Music Theory
Scale 2313Scale 2313, Ian Ring Music Theory
Scale 2315Scale 2315, Ian Ring Music Theory
Scale 2309Scale 2309, Ian Ring Music Theory
Scale 2325Scale 2325: Pynitonic, Ian Ring Music TheoryPynitonic
Scale 2333Scale 2333: Stynimic, Ian Ring Music TheoryStynimic
Scale 2349Scale 2349: Raga Ghantana, Ian Ring Music TheoryRaga Ghantana
Scale 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 2061Scale 2061, Ian Ring Music Theory
Scale 2189Scale 2189: Zagitonic, Ian Ring Music TheoryZagitonic
Scale 2573Scale 2573, Ian Ring Music Theory
Scale 2829Scale 2829, Ian Ring Music Theory
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 269Scale 269, Ian Ring Music Theory
Scale 1293Scale 1293, 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.