The Exciting Universe Of Music Theory

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Scale 3097

Scale 3097, 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).


Cardinality5 (pentatonic)
Pitch Class Set{0,3,4,10,11}
Forte Number5-6
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 775
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 103
Deep Scaleno
Interval Vector311221
Interval Spectrump2m2nsd3t
Distribution Spectra<1> = {1,3,6}
<2> = {2,4,7}
<3> = {5,8,10}
<4> = {6,9,11}
Spectra Variation4
Maximally Evenno
Maximal Area Setno
Interior Area1.25
Myhill Propertyno
Ridge Tonesnone

Common Triads

There are no common triads (major, minor, augmented and diminished) that can be formed using notes in this scale.


Modes are the rotational transformation of this scale. Scale 3097 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 899
Scale 899, Ian Ring Music Theory
3rd mode:
Scale 2497
Scale 2497, Ian Ring Music Theory
4th mode:
Scale 103
Scale 103, Ian Ring Music TheoryThis is the prime mode
5th mode:
Scale 2099
Scale 2099: Raga Megharanji, Ian Ring Music TheoryRaga Megharanji


The prime form of this scale is Scale 103

Scale 103Scale 103, Ian Ring Music Theory


The pentatonic modal family [3097, 899, 2497, 103, 2099] (Forte: 5-6) is the complement of the heptatonic modal family [415, 995, 2255, 2545, 3175, 3635, 3865] (Forte: 7-6)


The inverse of a scale is a reflection using the root as its axis. The inverse of 3097 is 775

Scale 775Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika


Only scales that are chiral will have an enantiomorph. Scale 3097 is chiral, and its enantiomorph is scale 775

Scale 775Scale 775: Raga Putrika, Ian Ring Music TheoryRaga Putrika


T0 3097  T0I 775
T1 2099  T1I 1550
T2 103  T2I 3100
T3 206  T3I 2105
T4 412  T4I 115
T5 824  T5I 230
T6 1648  T6I 460
T7 3296  T7I 920
T8 2497  T8I 1840
T9 899  T9I 3680
T10 1798  T10I 3265
T11 3596  T11I 2435

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 3099Scale 3099, Ian Ring Music Theory
Scale 3101Scale 3101, Ian Ring Music Theory
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3093Scale 3093, Ian Ring Music Theory
Scale 3081Scale 3081, Ian Ring Music Theory
Scale 3113Scale 3113, Ian Ring Music Theory
Scale 3129Scale 3129, Ian Ring Music Theory
Scale 3161Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
Scale 3225Scale 3225: Ionalimic, Ian Ring Music TheoryIonalimic
Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 2073Scale 2073, Ian Ring Music Theory
Scale 2585Scale 2585, Ian Ring Music Theory
Scale 1049Scale 1049, 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.