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Scale 1275: "Stagyllic"

Scale 1275: Stagyllic, 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
Stagyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,6,7,10}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3045
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes7
Prime?no
prime: 735
Deep Scaleno
Interval Vector556453
Interval Spectrump5m4n6s5d5t3
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {3,4,5,6}
<4> = {4,5,6,7,8}
<5> = {6,7,8,9}
<6> = {7,8,9,10}
<7> = {9,10,11}
Spectra Variation2.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1275 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2685
Scale 2685: Ionoryllic, Ian Ring Music TheoryIonoryllic
3rd mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
4th mode:
Scale 2895
Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
5th mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
6th mode:
Scale 3795
Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
7th mode:
Scale 3945
Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
8th mode:
Scale 1005
Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [1275, 2685, 1695, 2895, 3495, 3795, 3945, 1005] (Forte: 8-13) is the complement of the tetratonic modal family [75, 705, 1545, 2085] (Forte: 4-13)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1275 is 3045

Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1275 is chiral, and its enantiomorph is scale 3045

Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic

Transformations:

T0 1275  T0I 3045
T1 2550  T1I 1995
T2 1005  T2I 3990
T3 2010  T3I 3885
T4 4020  T4I 3675
T5 3945  T5I 3255
T6 3795  T6I 2415
T7 3495  T7I 735
T8 2895  T8I 1470
T9 1695  T9I 2940
T10 3390  T10I 1785
T11 2685  T11I 3570

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 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1277Scale 1277: Zadyllic, Ian Ring Music TheoryZadyllic
Scale 1279Scale 1279: Sarygic, Ian Ring Music TheorySarygic
Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1271Scale 1271: Kolyllic, Ian Ring Music TheoryKolyllic
Scale 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian
Scale 1243Scale 1243: Epylian, Ian Ring Music TheoryEpylian
Scale 1211Scale 1211: Zadian, Ian Ring Music TheoryZadian
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian
Scale 1403Scale 1403: Espla's Scale, Ian Ring Music TheoryEspla's Scale
Scale 1531Scale 1531: Styptygic, Ian Ring Music TheoryStyptygic
Scale 1787Scale 1787: Mycrygic, Ian Ring Music TheoryMycrygic
Scale 251Scale 251, Ian Ring Music Theory
Scale 763Scale 763: Doryllic, Ian Ring Music TheoryDoryllic
Scale 2299Scale 2299: Phraptyllic, Ian Ring Music TheoryPhraptyllic
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic

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.