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Scale 2383: "Katorian"

Scale 2383: Katorian, 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
Katorian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,3,6,8,11}
Forte Number7-Z12
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 671
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2383 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 3239
Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
3rd mode:
Scale 3667
Scale 3667: Kaptian, Ian Ring Music TheoryKaptian
4th mode:
Scale 3881
Scale 3881: Morian, Ian Ring Music TheoryMorian
5th mode:
Scale 997
Scale 997: Rycrian, Ian Ring Music TheoryRycrian
6th mode:
Scale 1273
Scale 1273: Ronian, Ian Ring Music TheoryRonian
7th mode:
Scale 671
Scale 671: Stycrian, Ian Ring Music TheoryStycrianThis is the prime mode

Prime

The prime form of this scale is Scale 671

Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian

Complement

The heptatonic modal family [2383, 3239, 3667, 3881, 997, 1273, 671] (Forte: 7-Z12) is the complement of the pentatonic modal family [107, 1411, 1549, 2101, 2753] (Forte: 5-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2383 is 3667

Scale 3667Scale 3667: Kaptian, Ian Ring Music TheoryKaptian

Transformations:

T0 2383  T0I 3667
T1 671  T1I 3239
T2 1342  T2I 2383
T3 2684  T3I 671
T4 1273  T4I 1342
T5 2546  T5I 2684
T6 997  T6I 1273
T7 1994  T7I 2546
T8 3988  T8I 997
T9 3881  T9I 1994
T10 3667  T10I 3988
T11 3239  T11I 3881

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 2381Scale 2381: Takemitsu Linea Mode 1, Ian Ring Music TheoryTakemitsu Linea Mode 1
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 2375Scale 2375: Aeolaptimic, Ian Ring Music TheoryAeolaptimic
Scale 2391Scale 2391: Molian, Ian Ring Music TheoryMolian
Scale 2399Scale 2399: Zanyllic, Ian Ring Music TheoryZanyllic
Scale 2415Scale 2415: Lothyllic, Ian Ring Music TheoryLothyllic
Scale 2319Scale 2319, Ian Ring Music Theory
Scale 2351Scale 2351: Gynian, Ian Ring Music TheoryGynian
Scale 2447Scale 2447: Thagian, Ian Ring Music TheoryThagian
Scale 2511Scale 2511: Aeroptyllic, Ian Ring Music TheoryAeroptyllic
Scale 2127Scale 2127, Ian Ring Music Theory
Scale 2255Scale 2255: Dylian, Ian Ring Music TheoryDylian
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2895Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
Scale 3407Scale 3407: Katocryllic, Ian Ring Music TheoryKatocryllic
Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic
Scale 1359Scale 1359: Aerygian, Ian Ring Music TheoryAerygian

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.