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Scale 3525: "Zocrian"

Scale 3525: Zocrian, 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
Zocrian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,6,7,8,10,11}
Forte Number7-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1143
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 375
Deep Scaleno
Interval Vector443532
Interval Spectrump3m5n3s4d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5,6}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {6,7,9,10}
<6> = {8,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3525 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1905
Scale 1905: Katacrian, Ian Ring Music TheoryKatacrian
3rd mode:
Scale 375
Scale 375: Sodian, Ian Ring Music TheorySodianThis is the prime mode
4th mode:
Scale 2235
Scale 2235: Bathian, Ian Ring Music TheoryBathian
5th mode:
Scale 3165
Scale 3165: Mylian, Ian Ring Music TheoryMylian
6th mode:
Scale 1815
Scale 1815: Godian, Ian Ring Music TheoryGodian
7th mode:
Scale 2955
Scale 2955: Thorian, Ian Ring Music TheoryThorian

Prime

The prime form of this scale is Scale 375

Scale 375Scale 375: Sodian, Ian Ring Music TheorySodian

Complement

The heptatonic modal family [3525, 1905, 375, 2235, 3165, 1815, 2955] (Forte: 7-13) is the complement of the pentatonic modal family [279, 369, 1809, 2187, 3141] (Forte: 5-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3525 is 1143

Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3525 is chiral, and its enantiomorph is scale 1143

Scale 1143Scale 1143: Styrian, Ian Ring Music TheoryStyrian

Transformations:

T0 3525  T0I 1143
T1 2955  T1I 2286
T2 1815  T2I 477
T3 3630  T3I 954
T4 3165  T4I 1908
T5 2235  T5I 3816
T6 375  T6I 3537
T7 750  T7I 2979
T8 1500  T8I 1863
T9 3000  T9I 3726
T10 1905  T10I 3357
T11 3810  T11I 2619

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 3527Scale 3527: Ronyllic, Ian Ring Music TheoryRonyllic
Scale 3521Scale 3521, Ian Ring Music Theory
Scale 3523Scale 3523, Ian Ring Music Theory
Scale 3529Scale 3529: Stalian, Ian Ring Music TheoryStalian
Scale 3533Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
Scale 3541Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
Scale 3557Scale 3557, Ian Ring Music Theory
Scale 3461Scale 3461, Ian Ring Music Theory
Scale 3493Scale 3493: Rathian, Ian Ring Music TheoryRathian
Scale 3397Scale 3397: Sydimic, Ian Ring Music TheorySydimic
Scale 3269Scale 3269: Raga Malarani, Ian Ring Music TheoryRaga Malarani
Scale 3781Scale 3781: Gyphian, Ian Ring Music TheoryGyphian
Scale 4037Scale 4037: Ionyllic, Ian Ring Music TheoryIonyllic
Scale 2501Scale 2501: Ralimic, Ian Ring Music TheoryRalimic
Scale 3013Scale 3013: Thynian, Ian Ring Music TheoryThynian
Scale 1477Scale 1477: Raga Jaganmohanam, Ian Ring Music TheoryRaga Jaganmohanam

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.