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Scale 1723: "JG Octatonic"

Scale 1723: JG Octatonic, 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

Unknown / Unsorted
JG Octatonic
Zeitler
Poryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,7,9,10}
Forte Number8-27
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2989
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes7
Prime?no
prime: 1463
Deep Scaleno
Interval Vector456553
Interval Spectrump5m5n6s5d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {5,6,7}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.25
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1723 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2909
Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
3rd mode:
Scale 1751
Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
4th mode:
Scale 2923
Scale 2923: Baryllic, Ian Ring Music TheoryBaryllic
5th mode:
Scale 3509
Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
6th mode:
Scale 1901
Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
7th mode:
Scale 1499
Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
8th mode:
Scale 2797
Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic

Prime

The prime form of this scale is Scale 1463

Scale 1463Scale 1463, Ian Ring Music Theory

Complement

The octatonic modal family [1723, 2909, 1751, 2923, 3509, 1901, 1499, 2797] (Forte: 8-27) is the complement of the tetratonic modal family [293, 593, 649, 1097] (Forte: 4-27)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1723 is 2989

Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1723 is chiral, and its enantiomorph is scale 2989

Scale 2989Scale 2989: Bebop Minor, Ian Ring Music TheoryBebop Minor

Transformations:

T0 1723  T0I 2989
T1 3446  T1I 1883
T2 2797  T2I 3766
T3 1499  T3I 3437
T4 2998  T4I 2779
T5 1901  T5I 1463
T6 3802  T6I 2926
T7 3509  T7I 1757
T8 2923  T8I 3514
T9 1751  T9I 2933
T10 3502  T10I 1771
T11 2909  T11I 3542

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 1721Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
Scale 1725Scale 1725: Minor Bebop, Ian Ring Music TheoryMinor Bebop
Scale 1727Scale 1727: Sydygic, Ian Ring Music TheorySydygic
Scale 1715Scale 1715: Harmonic Minor Inverse, Ian Ring Music TheoryHarmonic Minor Inverse
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1707Scale 1707: Dorian Flat 2, Ian Ring Music TheoryDorian Flat 2
Scale 1691Scale 1691: Kathian, Ian Ring Music TheoryKathian
Scale 1755Scale 1755: Octatonic, Ian Ring Music TheoryOctatonic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1659Scale 1659: Maqam Shadd'araban, Ian Ring Music TheoryMaqam Shadd'araban
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1979Scale 1979: Aeradygic, Ian Ring Music TheoryAeradygic
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian
Scale 2747Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian

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.