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Scale 1501: "Stygyllic"

Scale 1501: Stygyllic, 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.

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
Stygyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,6,7,8,10}
Forte Number8-24
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1399
Deep Scaleno
Interval Vector464743
Interval Spectrump4m7n4s6d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1501 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1399
Scale 1399: Syryllic, Ian Ring Music TheorySyryllicThis is the prime mode
3rd mode:
Scale 2747
Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
4th mode:
Scale 3421
Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
5th mode:
Scale 1879
Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
6th mode:
Scale 2987
Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
7th mode:
Scale 3541
Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
8th mode:
Scale 1909
Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic

Prime

The prime form of this scale is Scale 1399

Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic

Complement

The octatonic modal family [1501, 1399, 2747, 3421, 1879, 2987, 3541, 1909] (Forte: 8-24) is the complement of the tetratonic modal family [277, 337, 1093, 1297] (Forte: 4-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1501 is 1909

Scale 1909Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic

Transformations:

T0 1501  T0I 1909
T1 3002  T1I 3818
T2 1909  T2I 3541
T3 3818  T3I 2987
T4 3541  T4I 1879
T5 2987  T5I 3758
T6 1879  T6I 3421
T7 3758  T7I 2747
T8 3421  T8I 1399
T9 2747  T9I 2798
T10 1399  T10I 1501
T11 2798  T11I 3002

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 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian
Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
Scale 1493Scale 1493: Lydian Minor, Ian Ring Music TheoryLydian Minor
Scale 1485Scale 1485: Minor Romani, Ian Ring Music TheoryMinor Romani
Scale 1517Scale 1517: Sagyllic, Ian Ring Music TheorySagyllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 1437Scale 1437: Sabach ascending, Ian Ring Music TheorySabach ascending
Scale 1469Scale 1469: Epiryllic, Ian Ring Music TheoryEpiryllic
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 1245Scale 1245: Lathian, Ian Ring Music TheoryLathian
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 2013Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
Scale 477Scale 477: Stacrian, Ian Ring Music TheoryStacrian
Scale 989Scale 989: Phrolyllic, Ian Ring Music TheoryPhrolyllic
Scale 2525Scale 2525: Aeolaryllic, Ian Ring Music TheoryAeolaryllic
Scale 3549Scale 3549: Messiaen Mode 3 Inverse, Ian Ring Music TheoryMessiaen Mode 3 Inverse

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. Bibliography