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Scale 2747: "Stythyllic"

Scale 2747: Stythyllic, 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
Stythyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,7,9,11}
Forte Number8-24
Rotational Symmetrynone
Reflection Axes2
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[4]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2747 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3421
Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic
3rd mode:
Scale 1879
Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
4th mode:
Scale 2987
Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
5th mode:
Scale 3541
Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
6th mode:
Scale 1909
Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic
7th mode:
Scale 1501
Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
8th mode:
Scale 1399
Scale 1399: Syryllic, Ian Ring Music TheorySyryllicThis is the prime mode

Prime

The prime form of this scale is Scale 1399

Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic

Complement

The octatonic modal family [2747, 3421, 1879, 2987, 3541, 1909, 1501, 1399] (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 2747 is 2987

Scale 2987Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed

Transformations:

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

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 2745Scale 2745: Mela Sulini, Ian Ring Music TheoryMela Sulini
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 2751Scale 2751: Sylygic, Ian Ring Music TheorySylygic
Scale 2739Scale 2739: Mela Suryakanta, Ian Ring Music TheoryMela Suryakanta
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2731Scale 2731: Neapolitan Major, Ian Ring Music TheoryNeapolitan Major
Scale 2715Scale 2715: Kynian, Ian Ring Music TheoryKynian
Scale 2779Scale 2779: Shostakovich, Ian Ring Music TheoryShostakovich
Scale 2811Scale 2811: Barygic, Ian Ring Music TheoryBarygic
Scale 2619Scale 2619: Ionyrian, Ian Ring Music TheoryIonyrian
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 3003Scale 3003: Genus Chromaticum, Ian Ring Music TheoryGenus Chromaticum
Scale 2235Scale 2235: Bathian, Ian Ring Music TheoryBathian
Scale 2491Scale 2491: Layllic, Ian Ring Music TheoryLayllic
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3771Scale 3771: Katodyllian, Ian Ring Music TheoryKatodyllian
Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian
Scale 1723Scale 1723: JG Octatonic, Ian Ring Music TheoryJG Octatonic

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.