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Scale 3049: "Phrydyllic"

Scale 3049: Phrydyllic, 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
Phrydyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,5,6,7,8,9,11}
Forte Number8-12
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 763
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections4
Modes7
Prime?no
prime: 763
Deep Scaleno
Interval Vector556543
Interval Spectrump4m5n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,6}
<4> = {4,5,7,8}
<5> = {6,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3049 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 893
Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
3rd mode:
Scale 1247
Scale 1247: Aeodyllic, Ian Ring Music TheoryAeodyllic
4th mode:
Scale 2671
Scale 2671: Aerolyllic, Ian Ring Music TheoryAerolyllic
5th mode:
Scale 3383
Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
6th mode:
Scale 3739
Scale 3739: Epanyllic, Ian Ring Music TheoryEpanyllic
7th mode:
Scale 3917
Scale 3917: Katoptyllic, Ian Ring Music TheoryKatoptyllic
8th mode:
Scale 2003
Scale 2003: Podyllic, Ian Ring Music TheoryPodyllic

Prime

The prime form of this scale is Scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Complement

The octatonic modal family [3049, 893, 1247, 2671, 3383, 3739, 3917, 2003] (Forte: 8-12) is the complement of the tetratonic modal family [77, 833, 1043, 2569] (Forte: 4-12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3049 is 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3049 is chiral, and its enantiomorph is scale 763

Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic

Transformations:

T0 3049  T0I 763
T1 2003  T1I 1526
T2 4006  T2I 3052
T3 3917  T3I 2009
T4 3739  T4I 4018
T5 3383  T5I 3941
T6 2671  T6I 3787
T7 1247  T7I 3479
T8 2494  T8I 2863
T9 893  T9I 1631
T10 1786  T10I 3262
T11 3572  T11I 2429

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 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 3053Scale 3053: Zycrygic, Ian Ring Music TheoryZycrygic
Scale 3041Scale 3041, Ian Ring Music Theory
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 3057Scale 3057: Phroryllic, Ian Ring Music TheoryPhroryllic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 3017Scale 3017: Gacrian, Ian Ring Music TheoryGacrian
Scale 3033Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic
Scale 2985Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian
Scale 2921Scale 2921: Pogian, Ian Ring Music TheoryPogian
Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2537Scale 2537: Laptian, Ian Ring Music TheoryLaptian
Scale 3561Scale 3561: Pothyllic, Ian Ring Music TheoryPothyllic
Scale 4073Scale 4073: Sathygic, Ian Ring Music TheorySathygic
Scale 1001Scale 1001: Badian, Ian Ring Music TheoryBadian
Scale 2025Scale 2025, Ian Ring Music Theory

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.