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Scale 4011: "Styrygic"

Scale 4011: Styrygic, 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
Styrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,5,7,8,9,10,11}
Forte Number9-6
Rotational Symmetrynone
Reflection Axes4
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
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4011 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 4053
Scale 4053: Kyrygic, Ian Ring Music TheoryKyrygic
3rd mode:
Scale 2037
Scale 2037: Sythygic, Ian Ring Music TheorySythygic
4th mode:
Scale 1533
Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
5th mode:
Scale 1407
Scale 1407: Tharygic, Ian Ring Music TheoryTharygicThis is the prime mode
6th mode:
Scale 2751
Scale 2751: Sylygic, Ian Ring Music TheorySylygic
7th mode:
Scale 3423
Scale 3423: Lothygic, Ian Ring Music TheoryLothygic
8th mode:
Scale 3759
Scale 3759: Darygic, Ian Ring Music TheoryDarygic
9th mode:
Scale 3927
Scale 3927: Monygic, Ian Ring Music TheoryMonygic

Prime

The prime form of this scale is Scale 1407

Scale 1407Scale 1407: Tharygic, Ian Ring Music TheoryTharygic

Complement

The nonatonic modal family [4011, 4053, 2037, 1533, 1407, 2751, 3423, 3759, 3927] (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 4011 is 2751

Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic

Transformations:

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

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 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 4013Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
Scale 4015Scale 4015: Phradyllian, Ian Ring Music TheoryPhradyllian
Scale 4003Scale 4003: Sadyllic, Ian Ring Music TheorySadyllic
Scale 4007Scale 4007: Doptygic, Ian Ring Music TheoryDoptygic
Scale 4019Scale 4019: Lonygic, Ian Ring Music TheoryLonygic
Scale 4027Scale 4027: Ragyllian, Ian Ring Music TheoryRagyllian
Scale 3979Scale 3979: Dynyllic, Ian Ring Music TheoryDynyllic
Scale 3995Scale 3995: Ionygic, Ian Ring Music TheoryIonygic
Scale 4043Scale 4043: Phrocrygic, Ian Ring Music TheoryPhrocrygic
Scale 4075Scale 4075: Katyllian, Ian Ring Music TheoryKatyllian
Scale 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic
Scale 3947Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
Scale 3755Scale 3755: Phryryllic, Ian Ring Music TheoryPhryryllic
Scale 3499Scale 3499: Hamel, Ian Ring Music TheoryHamel
Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
Scale 1963Scale 1963: Epocryllic, Ian Ring Music TheoryEpocryllic

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.