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Scale 1531: "Styptygic"

Scale 1531: Styptygic, 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

Zeitler
Styptygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,3,4,5,6,7,8,10}
Forte Number9-7
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3061
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes8
Prime?no
prime: 1471
Deep Scaleno
Interval Vector677673
Interval Spectrump7m6n7s7d6t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6,7}
<5> = {5,6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.778
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1531 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2813
Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
3rd mode:
Scale 1727
Scale 1727: Sydygic, Ian Ring Music TheorySydygic
4th mode:
Scale 2911
Scale 2911: Katygic, Ian Ring Music TheoryKatygic
5th mode:
Scale 3503
Scale 3503: Zyphygic, Ian Ring Music TheoryZyphygic
6th mode:
Scale 3799
Scale 3799: Aeralygic, Ian Ring Music TheoryAeralygic
7th mode:
Scale 3947
Scale 3947: Ryptygic, Ian Ring Music TheoryRyptygic
8th mode:
Scale 4021
Scale 4021: Raga Pahadi, Ian Ring Music TheoryRaga Pahadi
9th mode:
Scale 2029
Scale 2029: Kiourdi, Ian Ring Music TheoryKiourdi

Prime

The prime form of this scale is Scale 1471

Scale 1471Scale 1471: Radygic, Ian Ring Music TheoryRadygic

Complement

The nonatonic modal family [1531, 2813, 1727, 2911, 3503, 3799, 3947, 4021, 2029] (Forte: 9-7) is the complement of the tritonic modal family [37, 641, 1033] (Forte: 3-7)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1531 is 3061

Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1531 is chiral, and its enantiomorph is scale 3061

Scale 3061Scale 3061: Apinygic, Ian Ring Music TheoryApinygic

Transformations:

T0 1531  T0I 3061
T1 3062  T1I 2027
T2 2029  T2I 4054
T3 4058  T3I 4013
T4 4021  T4I 3931
T5 3947  T5I 3767
T6 3799  T6I 3439
T7 3503  T7I 2783
T8 2911  T8I 1471
T9 1727  T9I 2942
T10 3454  T10I 1789
T11 2813  T11I 3578

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 1529Scale 1529: Kataryllic, Ian Ring Music TheoryKataryllic
Scale 1533Scale 1533: Katycrygic, Ian Ring Music TheoryKatycrygic
Scale 1535Scale 1535: Mixodyllian, Ian Ring Music TheoryMixodyllian
Scale 1523Scale 1523: Zothyllic, Ian Ring Music TheoryZothyllic
Scale 1527Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
Scale 1515Scale 1515: Phrygian/Locrian Mixed, Ian Ring Music TheoryPhrygian/Locrian Mixed
Scale 1499Scale 1499: Bebop Locrian, Ian Ring Music TheoryBebop Locrian
Scale 1467Scale 1467: Spanish Phrygian, Ian Ring Music TheorySpanish Phrygian
Scale 1403Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
Scale 1275Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 2043Scale 2043: Maqam Tarzanuyn, Ian Ring Music TheoryMaqam Tarzanuyn
Scale 507Scale 507: Moryllic, Ian Ring Music TheoryMoryllic
Scale 1019Scale 1019: Aeranygic, Ian Ring Music TheoryAeranygic
Scale 2555Scale 2555: Bythygic, Ian Ring Music TheoryBythygic
Scale 3579Scale 3579: Zyphyllian, Ian Ring Music TheoryZyphyllian

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.