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Scale 3047: "Panygic"

Scale 3047: Panygic, 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

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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
Panygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,5,6,7,8,9,11}
Forte Number9-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3323
Hemitonia7 (multihemitonic)
Cohemitonia5 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 991
Deep Scaleno
Interval Vector766674
Interval Spectrump7m6n6s6d7t4
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {9,10,11}
Spectra Variation1.778
Maximally Evenno
Maximal Area Setno
Interior Area2.683
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 TriadsC♯{1,5,8}342.21
D{2,6,9}342.14
F{5,9,0}342.21
G{7,11,2}242.64
Minor Triadsdm{2,5,9}442.07
fm{5,8,0}342.29
f♯m{6,9,1}342.21
bm{11,2,6}342.36
Augmented TriadsC♯+{1,5,9}442
Diminished Triads{2,5,8}242.43
{5,8,11}242.57
f♯°{6,9,0}242.57
g♯°{8,11,2}242.71
{11,2,5}242.43
Parsimonious Voice Leading Between Common Triads of Scale 3047. Created by Ian Ring ©2019 C# C# C#+ C#+ C#->C#+ C#->d° fm fm C#->fm dm dm C#+->dm F F C#+->F f#m f#m C#+->f#m d°->dm D D dm->D dm->b° D->f#m bm bm D->bm f°->fm g#° g#° f°->g#° fm->F f#° f#° F->f#° f#°->f#m Parsimonious Voice Leading Between Common Triads of Scale 3047. Created by Ian Ring ©2019 G G->g#° G->bm b°->bm

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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.

Diameter4
Radius4
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 3047 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 3571
Scale 3571: Dyrygic, Ian Ring Music TheoryDyrygic
3rd mode:
Scale 3833
Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
4th mode:
Scale 991
Scale 991: Aeolygic, Ian Ring Music TheoryAeolygicThis is the prime mode
5th mode:
Scale 2543
Scale 2543: Dydygic, Ian Ring Music TheoryDydygic
6th mode:
Scale 3319
Scale 3319: Tholygic, Ian Ring Music TheoryTholygic
7th mode:
Scale 3707
Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
8th mode:
Scale 3901
Scale 3901: Bycrygic, Ian Ring Music TheoryBycrygic
9th mode:
Scale 1999
Scale 1999: Zacrygic, Ian Ring Music TheoryZacrygic

Prime

The prime form of this scale is Scale 991

Scale 991Scale 991: Aeolygic, Ian Ring Music TheoryAeolygic

Complement

The nonatonic modal family [3047, 3571, 3833, 991, 2543, 3319, 3707, 3901, 1999] (Forte: 9-5) is the complement of the tritonic modal family [67, 193, 2081] (Forte: 3-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3047 is 3323

Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3047 is chiral, and its enantiomorph is scale 3323

Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic

Transformations:

T0 3047  T0I 3323
T1 1999  T1I 2551
T2 3998  T2I 1007
T3 3901  T3I 2014
T4 3707  T4I 4028
T5 3319  T5I 3961
T6 2543  T6I 3827
T7 991  T7I 3559
T8 1982  T8I 3023
T9 3964  T9I 1951
T10 3833  T10I 3902
T11 3571  T11I 3709

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 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 3043Scale 3043: Ionayllic, Ian Ring Music TheoryIonayllic
Scale 3051Scale 3051: Stalygic, Ian Ring Music TheoryStalygic
Scale 3055Scale 3055: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 3063Scale 3063: Solyllian, Ian Ring Music TheorySolyllian
Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
Scale 3031Scale 3031: Epithygic, Ian Ring Music TheoryEpithygic
Scale 2983Scale 2983: Zythyllic, Ian Ring Music TheoryZythyllic
Scale 2919Scale 2919: Molyllic, Ian Ring Music TheoryMolyllic
Scale 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2535Scale 2535: Messiaen Mode 4, Ian Ring Music TheoryMessiaen Mode 4
Scale 3559Scale 3559: Thophygic, Ian Ring Music TheoryThophygic
Scale 4071Scale 4071: Rygyllian, Ian Ring Music TheoryRygyllian
Scale 999Scale 999: Ionodyllic, Ian Ring Music TheoryIonodyllic
Scale 2023Scale 2023: Zodygic, Ian Ring Music TheoryZodygic

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.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.