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Scale 3061: "Apinygic"

Scale 3061: Apinygic, 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
Apinygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,2,4,5,6,7,8,9,11}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1531
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3061 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 1789
Scale 1789: Blues Enneatonic II, Ian Ring Music TheoryBlues Enneatonic II
3rd mode:
Scale 1471
Scale 1471: Radygic, Ian Ring Music TheoryRadygicThis is the prime mode
4th mode:
Scale 2783
Scale 2783: Gothygic, Ian Ring Music TheoryGothygic
5th mode:
Scale 3439
Scale 3439: Lythygic, Ian Ring Music TheoryLythygic
6th mode:
Scale 3767
Scale 3767: Chromatic Bebop, Ian Ring Music TheoryChromatic Bebop
7th mode:
Scale 3931
Scale 3931: Aerygic, Ian Ring Music TheoryAerygic
8th mode:
Scale 4013
Scale 4013: Raga Pilu, Ian Ring Music TheoryRaga Pilu
9th mode:
Scale 2027
Scale 2027: Boptygic, Ian Ring Music TheoryBoptygic

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [3061, 1789, 1471, 2783, 3439, 3767, 3931, 4013, 2027] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3061 is 1531

Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3061 is chiral, and its enantiomorph is scale 1531

Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic

Transformations:

T0 3061  T0I 1531
T1 2027  T1I 3062
T2 4054  T2I 2029
T3 4013  T3I 4058
T4 3931  T4I 4021
T5 3767  T5I 3947
T6 3439  T6I 3799
T7 2783  T7I 3503
T8 1471  T8I 2911
T9 2942  T9I 1727
T10 1789  T10I 3454
T11 3578  T11I 2813

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 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 3059Scale 3059: Madygic, Ian Ring Music TheoryMadygic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 3069Scale 3069: Maqam Shawq Afza, Ian Ring Music TheoryMaqam Shawq Afza
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 3029Scale 3029: Ionocryllic, Ian Ring Music TheoryIonocryllic
Scale 2997Scale 2997: Major Bebop, Ian Ring Music TheoryMajor Bebop
Scale 2933Scale 2933, Ian Ring Music Theory
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 2549Scale 2549: Rydyllic, Ian Ring Music TheoryRydyllic
Scale 3573Scale 3573: Kaptygic, Ian Ring Music TheoryKaptygic
Scale 4085Scale 4085: Sydyllian, Ian Ring Music TheorySydyllian
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 2037Scale 2037: Sythygic, Ian Ring Music TheorySythygic

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.