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Scale 3505: "Stygian"

Scale 3505: Stygian, 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
Stygian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,4,5,7,8,10,11}
Forte Number7-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 439
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 439
Deep Scaleno
Interval Vector434442
Interval Spectrump4m4n4s3d4t2
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
Coherenceno
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 3505 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 475
Scale 475: Aeolygian, Ian Ring Music TheoryAeolygian
3rd mode:
Scale 2285
Scale 2285: Aerogian, Ian Ring Music TheoryAerogian
4th mode:
Scale 1595
Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
5th mode:
Scale 2845
Scale 2845: Baptian, Ian Ring Music TheoryBaptian
6th mode:
Scale 1735
Scale 1735: Mela Navanitam, Ian Ring Music TheoryMela Navanitam
7th mode:
Scale 2915
Scale 2915: Aeolydian, Ian Ring Music TheoryAeolydian

Prime

The prime form of this scale is Scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Complement

The heptatonic modal family [3505, 475, 2285, 1595, 2845, 1735, 2915] (Forte: 7-Z38) is the complement of the pentatonic modal family [295, 625, 905, 2195, 3145] (Forte: 5-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3505 is 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3505 is chiral, and its enantiomorph is scale 439

Scale 439Scale 439: Bythian, Ian Ring Music TheoryBythian

Transformations:

T0 3505  T0I 439
T1 2915  T1I 878
T2 1735  T2I 1756
T3 3470  T3I 3512
T4 2845  T4I 2929
T5 1595  T5I 1763
T6 3190  T6I 3526
T7 2285  T7I 2957
T8 475  T8I 1819
T9 950  T9I 3638
T10 1900  T10I 3181
T11 3800  T11I 2267

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 3507Scale 3507: Maqam Hijaz, Ian Ring Music TheoryMaqam Hijaz
Scale 3509Scale 3509: Stogyllic, Ian Ring Music TheoryStogyllic
Scale 3513Scale 3513: Dydyllic, Ian Ring Music TheoryDydyllic
Scale 3489Scale 3489, Ian Ring Music Theory
Scale 3497Scale 3497: Phrolian, Ian Ring Music TheoryPhrolian
Scale 3473Scale 3473: Lathimic, Ian Ring Music TheoryLathimic
Scale 3537Scale 3537: Katogian, Ian Ring Music TheoryKatogian
Scale 3569Scale 3569: Aeoladyllic, Ian Ring Music TheoryAeoladyllic
Scale 3377Scale 3377: Phralimic, Ian Ring Music TheoryPhralimic
Scale 3441Scale 3441: Thacrian, Ian Ring Music TheoryThacrian
Scale 3249Scale 3249: Raga Tilang, Ian Ring Music TheoryRaga Tilang
Scale 3761Scale 3761: Raga Madhuri, Ian Ring Music TheoryRaga Madhuri
Scale 4017Scale 4017: Dolyllic, Ian Ring Music TheoryDolyllic
Scale 2481Scale 2481: Raga Paraju, Ian Ring Music TheoryRaga Paraju
Scale 2993Scale 2993: Stythian, Ian Ring Music TheoryStythian
Scale 1457Scale 1457: Raga Kamalamanohari, Ian Ring Music TheoryRaga Kamalamanohari

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