The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3149: "Phrycrimic"

Scale 3149: Phrycrimic, 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
Phrycrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,3,6,10,11}
Forte Number6-15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1607
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 311
Deep Scaleno
Interval Vector323421
Interval Spectrump2m4n3s2d3t
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,3,4,5,7}
<3> = {4,6,8}
<4> = {5,7,8,9,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsB{11,3,6}321
Minor Triadsd♯m{3,6,10}221.2
bm{11,2,6}221.2
Augmented TriadsD+{2,6,10}231.4
Diminished Triads{0,3,6}131.6
Parsimonious Voice Leading Between Common Triads of Scale 3149. Created by Ian Ring ©2019 B B c°->B D+ D+ d#m d#m D+->d#m bm bm D+->bm d#m->B bm->B

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius2
Self-Centeredno
Central Verticesd♯m, bm, B
Peripheral Verticesc°, D+

Modes

Modes are the rotational transformation of this scale. Scale 3149 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1811
Scale 1811: Kyptimic, Ian Ring Music TheoryKyptimic
3rd mode:
Scale 2953
Scale 2953: Ionylimic, Ian Ring Music TheoryIonylimic
4th mode:
Scale 881
Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
5th mode:
Scale 311
Scale 311: Stagimic, Ian Ring Music TheoryStagimicThis is the prime mode
6th mode:
Scale 2203
Scale 2203: Dorimic, Ian Ring Music TheoryDorimic

Prime

The prime form of this scale is Scale 311

Scale 311Scale 311: Stagimic, Ian Ring Music TheoryStagimic

Complement

The hexatonic modal family [3149, 1811, 2953, 881, 311, 2203] (Forte: 6-15) is the complement of the hexatonic modal family [311, 881, 1811, 2203, 2953, 3149] (Forte: 6-15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3149 is 1607

Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3149 is chiral, and its enantiomorph is scale 1607

Scale 1607Scale 1607: Epytimic, Ian Ring Music TheoryEpytimic

Transformations:

T0 3149  T0I 1607
T1 2203  T1I 3214
T2 311  T2I 2333
T3 622  T3I 571
T4 1244  T4I 1142
T5 2488  T5I 2284
T6 881  T6I 473
T7 1762  T7I 946
T8 3524  T8I 1892
T9 2953  T9I 3784
T10 1811  T10I 3473
T11 3622  T11I 2851

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 3151Scale 3151: Pacrian, Ian Ring Music TheoryPacrian
Scale 3145Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
Scale 3141Scale 3141: Kanitonic, Ian Ring Music TheoryKanitonic
Scale 3157Scale 3157: Zyptimic, Ian Ring Music TheoryZyptimic
Scale 3165Scale 3165: Mylian, Ian Ring Music TheoryMylian
Scale 3181Scale 3181: Rolian, Ian Ring Music TheoryRolian
Scale 3085Scale 3085, Ian Ring Music Theory
Scale 3117Scale 3117, Ian Ring Music Theory
Scale 3213Scale 3213: Eponimic, Ian Ring Music TheoryEponimic
Scale 3277Scale 3277: Mela Nitimati, Ian Ring Music TheoryMela Nitimati
Scale 3405Scale 3405: Stynian, Ian Ring Music TheoryStynian
Scale 3661Scale 3661: Mixodorian, Ian Ring Music TheoryMixodorian
Scale 2125Scale 2125, Ian Ring Music Theory
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 1101Scale 1101: Stothitonic, Ian Ring Music TheoryStothitonic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.