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Scale 1269: "Katythian"

Scale 1269: Katythian, 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
Katythian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,6,7,10}
Forte Number7-24
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1509
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes6
Prime?no
prime: 687
Deep Scaleno
Interval Vector353442
Interval Spectrump4m4n3s5d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6,7}
<4> = {5,6,7,8,9}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.571
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1269 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1341
Scale 1341: Madian, Ian Ring Music TheoryMadian
3rd mode:
Scale 1359
Scale 1359: Aerygian, Ian Ring Music TheoryAerygian
4th mode:
Scale 2727
Scale 2727: Mela Manavati, Ian Ring Music TheoryMela Manavati
5th mode:
Scale 3411
Scale 3411: Enigmatic, Ian Ring Music TheoryEnigmatic
6th mode:
Scale 3753
Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
7th mode:
Scale 981
Scale 981: Mela Kantamani, Ian Ring Music TheoryMela Kantamani

Prime

The prime form of this scale is Scale 687

Scale 687Scale 687: Aeolythian, Ian Ring Music TheoryAeolythian

Complement

The heptatonic modal family [1269, 1341, 1359, 2727, 3411, 3753, 981] (Forte: 7-24) is the complement of the pentatonic modal family [171, 1377, 1413, 1557, 2133] (Forte: 5-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1269 is 1509

Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1269 is chiral, and its enantiomorph is scale 1509

Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian

Transformations:

T0 1269  T0I 1509
T1 2538  T1I 3018
T2 981  T2I 1941
T3 1962  T3I 3882
T4 3924  T4I 3669
T5 3753  T5I 3243
T6 3411  T6I 2391
T7 2727  T7I 687
T8 1359  T8I 1374
T9 2718  T9I 2748
T10 1341  T10I 1401
T11 2682  T11I 2802

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 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1265Scale 1265: Pynimic, Ian Ring Music TheoryPynimic
Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1261Scale 1261: Modified Blues, Ian Ring Music TheoryModified Blues
Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic
Scale 1205Scale 1205: Raga Siva Kambhoji, Ian Ring Music TheoryRaga Siva Kambhoji
Scale 1141Scale 1141: Rynimic, Ian Ring Music TheoryRynimic
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
Scale 1781Scale 1781: Gocryllic, Ian Ring Music TheoryGocryllic
Scale 245Scale 245: Raga Dipak, Ian Ring Music TheoryRaga Dipak
Scale 757Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
Scale 2293Scale 2293: Gorian, Ian Ring Music TheoryGorian
Scale 3317Scale 3317: Katynyllic, Ian Ring Music TheoryKatynyllic

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.