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Scale 4079: "Ionatic"

Scale 4079: Ionatic, 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).

Common Names



Cardinality11 (undecatonic)
Pitch Class Set{0,1,2,3,5,6,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Reflection Axes4
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
prime: 2047
Deep Scaleno
Interval Vector10101010105
Interval Spectrump10m10n10s10d10t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6}
<6> = {6,7}
<7> = {7,8}
<8> = {8,9}
<9> = {9,10}
<10> = {10,11}
Spectra Variation0.909
Maximally Evenyes
Myhill Propertyyes
Ridge Tones[8]


Modes are the rotational transformation of this scale. Scale 4079 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4087
Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
3rd mode:
Scale 4091
Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
4th mode:
Scale 4093
Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
5th mode:
Scale 2047
Scale 2047: Monatic, Ian Ring Music TheoryMonaticThis is the prime mode
6th mode:
Scale 3071
Scale 3071: Solatic, Ian Ring Music TheorySolatic
7th mode:
Scale 3583
Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
8th mode:
Scale 3839
Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
9th mode:
Scale 3967
Scale 3967: Soratic, Ian Ring Music TheorySoratic
10th mode:
Scale 4031
Scale 4031: Godatic, Ian Ring Music TheoryGodatic
11th mode:
Scale 4063
Scale 4063: Eptatic, Ian Ring Music TheoryEptatic


The prime form of this scale is Scale 2047

Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic


The undecatonic modal family [4079, 4087, 4091, 4093, 2047, 3071, 3583, 3839, 3967, 4031, 4063] (Forte: 11-1) is the complement of the modal family [1] (Forte: 1-1)


The inverse of a scale is a reflection using the root as its axis. The inverse of 4079 is 3839

Scale 3839Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic


T0 4079  T0I 3839
T1 4063  T1I 3583
T2 4031  T2I 3071
T3 3967  T3I 2047
T4 3839  T4I 4094
T5 3583  T5I 4093
T6 3071  T6I 4091
T7 2047  T7I 4087
T8 4094  T8I 4079
T9 4093  T9I 4063
T10 4091  T10I 4031
T11 4087  T11I 3967

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 4077Scale 4077: Gothyllian, Ian Ring Music TheoryGothyllian
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 4087Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 4047Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
Scale 4063Scale 4063: Eptatic, Ian Ring Music TheoryEptatic
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 3951Scale 3951: Mathyllian, Ian Ring Music TheoryMathyllian
Scale 3823Scale 3823: Epinyllian, Ian Ring Music TheoryEpinyllian
Scale 3567Scale 3567: Epityllian, Ian Ring Music TheoryEpityllian
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 2031Scale 2031: Gadyllian, Ian Ring Music TheoryGadyllian

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