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Scale 2871: "Stanyllic"

Scale 2871: Stanyllic, 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
Stanyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,8,9,11}
Forte Number8-17
Rotational Symmetrynone
Reflection Axes0.5
Palindromicno
Chiralityno
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes7
Prime?no
prime: 891
Deep Scaleno
Interval Vector546652
Interval Spectrump5m6n6s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {3,4,5,6}
<4> = {5,7}
<5> = {6,7,8,9}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[1]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2871 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3483
Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic
3rd mode:
Scale 3789
Scale 3789: Eporyllic, Ian Ring Music TheoryEporyllic
4th mode:
Scale 1971
Scale 1971: Aerynyllic, Ian Ring Music TheoryAerynyllic
5th mode:
Scale 3033
Scale 3033: Doptyllic, Ian Ring Music TheoryDoptyllic
6th mode:
Scale 891
Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllicThis is the prime mode
7th mode:
Scale 2493
Scale 2493: Manyllic, Ian Ring Music TheoryManyllic
8th mode:
Scale 1647
Scale 1647: Polyllic, Ian Ring Music TheoryPolyllic

Prime

The prime form of this scale is Scale 891

Scale 891Scale 891: Ionilyllic, Ian Ring Music TheoryIonilyllic

Complement

The octatonic modal family [2871, 3483, 3789, 1971, 3033, 891, 2493, 1647] (Forte: 8-17) is the complement of the tetratonic modal family [153, 531, 801, 2313] (Forte: 4-17)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2871 is 3483

Scale 3483Scale 3483: Mixotharyllic, Ian Ring Music TheoryMixotharyllic

Transformations:

T0 2871  T0I 3483
T1 1647  T1I 2871
T2 3294  T2I 1647
T3 2493  T3I 3294
T4 891  T4I 2493
T5 1782  T5I 891
T6 3564  T6I 1782
T7 3033  T7I 3564
T8 1971  T8I 3033
T9 3942  T9I 1971
T10 3789  T10I 3942
T11 3483  T11I 3789

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 2869Scale 2869: Ionian Augmented, Ian Ring Music TheoryIonian Augmented
Scale 2867Scale 2867: Socrian, Ian Ring Music TheorySocrian
Scale 2875Scale 2875: Ganyllic, Ian Ring Music TheoryGanyllic
Scale 2879Scale 2879: Stadygic, Ian Ring Music TheoryStadygic
Scale 2855Scale 2855: Epocrain, Ian Ring Music TheoryEpocrain
Scale 2863Scale 2863: Aerogyllic, Ian Ring Music TheoryAerogyllic
Scale 2839Scale 2839: Lyptian, Ian Ring Music TheoryLyptian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 2935Scale 2935: Modygic, Ian Ring Music TheoryModygic
Scale 2999Scale 2999: Chromatic and Permuted Diatonic Dorian Mixed, Ian Ring Music TheoryChromatic and Permuted Diatonic Dorian Mixed
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
Scale 2743Scale 2743: Staptyllic, Ian Ring Music TheoryStaptyllic
Scale 2359Scale 2359: Gadian, Ian Ring Music TheoryGadian
Scale 3383Scale 3383: Zoptyllic, Ian Ring Music TheoryZoptyllic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic

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.