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Scale 2161

Scale 2161, 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.

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{0,4,5,6,11}
Forte Number5-7
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 451
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
prime: 199
Deep Scaleno
Interval Vector310132
Interval Spectrump3msd3t2
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {7,8,11}
Spectra Variation3.2
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 2161 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 391
Scale 391, Ian Ring Music Theory
3rd mode:
Scale 2243
Scale 2243, Ian Ring Music Theory
4th mode:
Scale 3169
Scale 3169, Ian Ring Music Theory
5th mode:
Scale 227
Scale 227, Ian Ring Music Theory


The prime form of this scale is Scale 199

Scale 199Scale 199: Raga Nabhomani, Ian Ring Music TheoryRaga Nabhomani


The pentatonic modal family [2161, 391, 2243, 3169, 227] (Forte: 5-7) is the complement of the heptatonic modal family [463, 967, 2279, 2531, 3187, 3313, 3641] (Forte: 7-7)


The inverse of a scale is a reflection using the root as its axis. The inverse of 2161 is 451

Scale 451Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini


Only scales that are chiral will have an enantiomorph. Scale 2161 is chiral, and its enantiomorph is scale 451

Scale 451Scale 451: Raga Saugandhini, Ian Ring Music TheoryRaga Saugandhini


T0 2161  T0I 451
T1 227  T1I 902
T2 454  T2I 1804
T3 908  T3I 3608
T4 1816  T4I 3121
T5 3632  T5I 2147
T6 3169  T6I 199
T7 2243  T7I 398
T8 391  T8I 796
T9 782  T9I 1592
T10 1564  T10I 3184
T11 3128  T11I 2273

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 2163Scale 2163, Ian Ring Music Theory
Scale 2165Scale 2165, Ian Ring Music Theory
Scale 2169Scale 2169, Ian Ring Music Theory
Scale 2145Scale 2145: Messiaen Truncated Mode 5 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 5 Inverse
Scale 2153Scale 2153, Ian Ring Music Theory
Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 2097Scale 2097, Ian Ring Music Theory
Scale 2225Scale 2225: Ionian Pentatonic, Ian Ring Music TheoryIonian Pentatonic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 2417Scale 2417: Kanimic, Ian Ring Music TheoryKanimic
Scale 2673Scale 2673: Mythimic, Ian Ring Music TheoryMythimic
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 113Scale 113, Ian Ring Music Theory
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic

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. Bibliography