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Scale 3153: "Zathitonic"

Scale 3153: Zathitonic, 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
Zathitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,4,6,10,11}
Forte Number5-15
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 327
Deep Scaleno
Interval Vector220222
Interval Spectrump2m2s2d2t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,5,6}
<3> = {6,7,10}
<4> = {8,10,11}
Spectra Variation2.8
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3153 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 453
Scale 453: Raditonic, Ian Ring Music TheoryRaditonic
3rd mode:
Scale 1137
Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
4th mode:
Scale 327
Scale 327: Syptitonic, Ian Ring Music TheorySyptitonicThis is the prime mode
5th mode:
Scale 2211
Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri

Prime

The prime form of this scale is Scale 327

Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic

Complement

The pentatonic modal family [3153, 453, 1137, 327, 2211] (Forte: 5-15) is the complement of the heptatonic modal family [471, 1479, 1821, 2283, 2787, 3189, 3441] (Forte: 7-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3153 is 327

Scale 327Scale 327: Syptitonic, Ian Ring Music TheorySyptitonic

Transformations:

T0 3153  T0I 327
T1 2211  T1I 654
T2 327  T2I 1308
T3 654  T3I 2616
T4 1308  T4I 1137
T5 2616  T5I 2274
T6 1137  T6I 453
T7 2274  T7I 906
T8 453  T8I 1812
T9 906  T9I 3624
T10 1812  T10I 3153
T11 3624  T11I 2211

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 3155Scale 3155: Ladimic, Ian Ring Music TheoryLadimic
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3161Scale 3161: Kodimic, Ian Ring Music TheoryKodimic
Scale 3137Scale 3137, Ian Ring Music Theory
Scale 3145Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
Scale 3169Scale 3169, Ian Ring Music Theory
Scale 3185Scale 3185: Messiaen Mode 5 Inverse, Ian Ring Music TheoryMessiaen Mode 5 Inverse
Scale 3089Scale 3089, Ian Ring Music Theory
Scale 3121Scale 3121, Ian Ring Music Theory
Scale 3217Scale 3217: Molitonic, Ian Ring Music TheoryMolitonic
Scale 3281Scale 3281: Raga Vijayavasanta, Ian Ring Music TheoryRaga Vijayavasanta
Scale 3409Scale 3409: Katanimic, Ian Ring Music TheoryKatanimic
Scale 3665Scale 3665: Stalimic, Ian Ring Music TheoryStalimic
Scale 2129Scale 2129: Raga Nigamagamini, Ian Ring Music TheoryRaga Nigamagamini
Scale 2641Scale 2641: Raga Hindol, Ian Ring Music TheoryRaga Hindol
Scale 1105Scale 1105: Messiaen Truncated Mode 6 Inverse, Ian Ring Music TheoryMessiaen Truncated Mode 6 Inverse

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.