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Scale 1533: "Katycrygic"

Scale 1533: Katycrygic, 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
Katycrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,3,4,5,6,7,8,10}
Forte Number9-6
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1407
Deep Scaleno
Interval Vector686763
Interval Spectrump6m7n6s8d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {6,7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation2
Maximally Evenno
Maximal Area Setyes
Interior Area2.799
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1533 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1407
Scale 1407: Tharygic, Ian Ring Music TheoryTharygicThis is the prime mode
3rd mode:
Scale 2751
Scale 2751: Sylygic, Ian Ring Music TheorySylygic
4th mode:
Scale 3423
Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
5th mode:
Scale 3759
Scale 3759: Darygic, Ian Ring Music TheoryDarygic
6th mode:
Scale 3927
Scale 3927: Monygic, Ian Ring Music TheoryMonygic
7th mode:
Scale 4011
Scale 4011: Styrygic, Ian Ring Music TheoryStyrygic
8th mode:
Scale 4053
Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
9th mode:
Scale 2037
Scale 2037: Sythygic, Ian Ring Music TheorySythygic

Prime

The prime form of this scale is Scale 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Complement

The nonatonic modal family [1533, 1407, 2751, 3423, 3759, 3927, 4011, 4053, 2037] (Forte: 9-6) is the complement of the tritonic modal family [21, 1029, 1281] (Forte: 3-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1533 is 2037

Scale 2037Scale 2037: Sythygic, Ian Ring Music TheorySythygic

Transformations:

T0 1533  T0I 2037
T1 3066  T1I 4074
T2 2037  T2I 4053
T3 4074  T3I 4011
T4 4053  T4I 3927
T5 4011  T5I 3759
T6 3927  T6I 3423
T7 3759  T7I 2751
T8 3423  T8I 1407
T9 2751  T9I 2814
T10 1407  T10I 1533
T11 2814  T11I 3066

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 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
Scale 1525Scale 1525: Sodyllic, Ian Ring Music TheorySodyllic
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1501Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1405Scale 1405: Goryllic, Ian Ring Music TheoryGoryllic
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1789Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
Scale 2045Scale 2045: Katogyllian, Ian Ring Music TheoryKatogyllian
Scale 509Scale 509: Ionothyllic, Ian Ring Music TheoryIonothyllic
Scale 1021Scale 1021: Ladygic, Ian Ring Music TheoryLadygic
Scale 2557Scale 2557: Dothygic, Ian Ring Music TheoryDothygic
Scale 3581Scale 3581: Epocryllian, Ian Ring Music TheoryEpocryllian

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.