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Scale 3429: "Marian"

Scale 3429: Marian, 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).

Common Names

Zeitler
Marian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,6,8,10,11}
Forte Number7-28
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1239
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 747
Deep Scaleno
Interval Vector344433
Interval Spectrump3m4n4s4d3t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3429 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1881
Scale 1881: Katorian, Ian Ring Music TheoryKatorian
3rd mode:
Scale 747
Scale 747: Lynian, Ian Ring Music TheoryLynianThis is the prime mode
4th mode:
Scale 2421
Scale 2421: Malian, Ian Ring Music TheoryMalian
5th mode:
Scale 1629
Scale 1629: Synian, Ian Ring Music TheorySynian
6th mode:
Scale 1431
Scale 1431: Phragian, Ian Ring Music TheoryPhragian
7th mode:
Scale 2763
Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi

Prime

The prime form of this scale is Scale 747

Scale 747Scale 747: Lynian, Ian Ring Music TheoryLynian

Complement

The heptatonic modal family [3429, 1881, 747, 2421, 1629, 1431, 2763] (Forte: 7-28) is the complement of the pentatonic modal family [333, 837, 1107, 1233, 2601] (Forte: 5-28)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3429 is 1239

Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3429 is chiral, and its enantiomorph is scale 1239

Scale 1239Scale 1239: Epaptian, Ian Ring Music TheoryEpaptian

Transformations:

T0 3429  T0I 1239
T1 2763  T1I 2478
T2 1431  T2I 861
T3 2862  T3I 1722
T4 1629  T4I 3444
T5 3258  T5I 2793
T6 2421  T6I 1491
T7 747  T7I 2982
T8 1494  T8I 1869
T9 2988  T9I 3738
T10 1881  T10I 3381
T11 3762  T11I 2667

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 3431Scale 3431: Zyptyllic, Ian Ring Music TheoryZyptyllic
Scale 3425Scale 3425, Ian Ring Music Theory
Scale 3427Scale 3427: Zacrian, Ian Ring Music TheoryZacrian
Scale 3433Scale 3433: Thonian, Ian Ring Music TheoryThonian
Scale 3437Scale 3437, Ian Ring Music Theory
Scale 3445Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3413Scale 3413: Leading Whole-tone, Ian Ring Music TheoryLeading Whole-tone
Scale 3365Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3173Scale 3173: Zarimic, Ian Ring Music TheoryZarimic
Scale 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3685Scale 3685: Kodian, Ian Ring Music TheoryKodian
Scale 3941Scale 3941: Stathyllic, Ian Ring Music TheoryStathyllic
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 1381Scale 1381: Padimic, Ian Ring Music TheoryPadimic

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.