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Scale 3469: "Monian"

Scale 3469: Monian, 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

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).

Common Names

Zeitler
Monian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,3,7,8,10,11}
Forte Number7-Z37
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 443
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3469 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1891
Scale 1891: Thalian, Ian Ring Music TheoryThalian
3rd mode:
Scale 2993
Scale 2993: Stythian, Ian Ring Music TheoryStythian
4th mode:
Scale 443
Scale 443: Kothian, Ian Ring Music TheoryKothianThis is the prime mode
5th mode:
Scale 2269
Scale 2269: Pygian, Ian Ring Music TheoryPygian
6th mode:
Scale 1591
Scale 1591: Rodian, Ian Ring Music TheoryRodian
7th mode:
Scale 2843
Scale 2843: Sorian, Ian Ring Music TheorySorian

Prime

The prime form of this scale is Scale 443

Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian

Complement

The heptatonic modal family [3469, 1891, 2993, 443, 2269, 1591, 2843] (Forte: 7-Z37) is the complement of the pentatonic modal family [313, 551, 913, 2323, 3209] (Forte: 5-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3469 is 1591

Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian

Transformations:

T0 3469  T0I 1591
T1 2843  T1I 3182
T2 1591  T2I 2269
T3 3182  T3I 443
T4 2269  T4I 886
T5 443  T5I 1772
T6 886  T6I 3544
T7 1772  T7I 2993
T8 3544  T8I 1891
T9 2993  T9I 3782
T10 1891  T10I 3469
T11 3782  T11I 2843

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 3471Scale 3471: Gyryllic, Ian Ring Music TheoryGyryllic
Scale 3465Scale 3465: Katathimic, Ian Ring Music TheoryKatathimic
Scale 3467Scale 3467: Katonian, Ian Ring Music TheoryKatonian
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 3477Scale 3477: Kyptian, Ian Ring Music TheoryKyptian
Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach
Scale 3501Scale 3501: Maqam Nahawand, Ian Ring Music TheoryMaqam Nahawand
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3341Scale 3341, Ian Ring Music Theory
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3725Scale 3725: Kyrian, Ian Ring Music TheoryKyrian
Scale 3981Scale 3981: Phrycryllic, Ian Ring Music TheoryPhrycryllic
Scale 2445Scale 2445: Zadimic, Ian Ring Music TheoryZadimic
Scale 2957Scale 2957: Thygian, Ian Ring Music TheoryThygian
Scale 1421Scale 1421: Raga Trimurti, Ian Ring Music TheoryRaga Trimurti

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