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Scale 1009: "Katyptian"

Scale 1009: Katyptian, 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
Katyptian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,6,7,8,9}
Forte Number7-3
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 505
Hemitonia5 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections4
Modes6
Prime?no
prime: 319
Deep Scaleno
Interval Vector544431
Interval Spectrump3m4n4s4d5t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,7}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {5,7,8,10}
<6> = {8,9,11}
Spectra Variation3.714
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1009 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 319
Scale 319: Epodian, Ian Ring Music TheoryEpodianThis is the prime mode
3rd mode:
Scale 2207
Scale 2207: Mygian, Ian Ring Music TheoryMygian
4th mode:
Scale 3151
Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
5th mode:
Scale 3623
Scale 3623: Aerocrian, Ian Ring Music TheoryAerocrian
6th mode:
Scale 3859
Scale 3859: Aeolarian, Ian Ring Music TheoryAeolarian
7th mode:
Scale 3977
Scale 3977: Kythian, Ian Ring Music TheoryKythian

Prime

The prime form of this scale is Scale 319

Scale 319Scale 319: Epodian, Ian Ring Music TheoryEpodian

Complement

The heptatonic modal family [1009, 319, 2207, 3151, 3623, 3859, 3977] (Forte: 7-3) is the complement of the pentatonic modal family [55, 1795, 2075, 2945, 3085] (Forte: 5-3)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1009 is 505

Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1009 is chiral, and its enantiomorph is scale 505

Scale 505Scale 505: Sanian, Ian Ring Music TheorySanian

Transformations:

T0 1009  T0I 505
T1 2018  T1I 1010
T2 4036  T2I 2020
T3 3977  T3I 4040
T4 3859  T4I 3985
T5 3623  T5I 3875
T6 3151  T6I 3655
T7 2207  T7I 3215
T8 319  T8I 2335
T9 638  T9I 575
T10 1276  T10I 1150
T11 2552  T11I 2300

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 1011Scale 1011: Kycryllic, Ian Ring Music TheoryKycryllic
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 1017Scale 1017: Dythyllic, Ian Ring Music TheoryDythyllic
Scale 993Scale 993, Ian Ring Music Theory
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 977Scale 977: Kocrimic, Ian Ring Music TheoryKocrimic
Scale 945Scale 945: Raga Saravati, Ian Ring Music TheoryRaga Saravati
Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 2033Scale 2033: Stolyllic, Ian Ring Music TheoryStolyllic
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic

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.