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Scale 2809: "Gythyllic"

Scale 2809: Gythyllic, 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
Gythyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,3,4,5,6,7,9,11}
Forte Number8-Z15
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1003
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 863
Deep Scaleno
Interval Vector555553
Interval Spectrump5m5n5s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2.25
Maximally Evenno
Maximal Area Setno
Interior Area2.616
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2809 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 863
Scale 863: Pyryllic, Ian Ring Music TheoryPyryllicThis is the prime mode
3rd mode:
Scale 2479
Scale 2479: Harmonic and Neapolitan Minor Mixed, Ian Ring Music TheoryHarmonic and Neapolitan Minor Mixed
4th mode:
Scale 3287
Scale 3287: Phrathyllic, Ian Ring Music TheoryPhrathyllic
5th mode:
Scale 3691
Scale 3691: Badyllic, Ian Ring Music TheoryBadyllic
6th mode:
Scale 3893
Scale 3893: Phrocryllic, Ian Ring Music TheoryPhrocryllic
7th mode:
Scale 1997
Scale 1997: Raga Cintamani, Ian Ring Music TheoryRaga Cintamani
8th mode:
Scale 1523
Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic

Prime

The prime form of this scale is Scale 863

Scale 863Scale 863: Pyryllic, Ian Ring Music TheoryPyryllic

Complement

The octatonic modal family [2809, 863, 2479, 3287, 3691, 3893, 1997, 1523] (Forte: 8-Z15) is the complement of the tetratonic modal family [83, 773, 1217, 2089] (Forte: 4-Z15)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2809 is 1003

Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2809 is chiral, and its enantiomorph is scale 1003

Scale 1003Scale 1003: Ionyryllic, Ian Ring Music TheoryIonyryllic

Transformations:

T0 2809  T0I 1003
T1 1523  T1I 2006
T2 3046  T2I 4012
T3 1997  T3I 3929
T4 3994  T4I 3763
T5 3893  T5I 3431
T6 3691  T6I 2767
T7 3287  T7I 1439
T8 2479  T8I 2878
T9 863  T9I 1661
T10 1726  T10I 3322
T11 3452  T11I 2549

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 2811Scale 2811: Barygic, Ian Ring Music TheoryBarygic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 2801Scale 2801: Zogian, Ian Ring Music TheoryZogian
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2777Scale 2777: Aeolian Harmonic, Ian Ring Music TheoryAeolian Harmonic
Scale 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 2681Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
Scale 2937Scale 2937: Phragyllic, Ian Ring Music TheoryPhragyllic
Scale 3065Scale 3065: Zothygic, Ian Ring Music TheoryZothygic
Scale 2297Scale 2297: Thylian, Ian Ring Music TheoryThylian
Scale 2553Scale 2553: Aeolaptyllic, Ian Ring Music TheoryAeolaptyllic
Scale 3321Scale 3321: Epagyllic, Ian Ring Music TheoryEpagyllic
Scale 3833Scale 3833: Dycrygic, Ian Ring Music TheoryDycrygic
Scale 761Scale 761: Ponian, Ian Ring Music TheoryPonian
Scale 1785Scale 1785: Tharyllic, Ian Ring Music TheoryTharyllic

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.