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Scale 2685: "Ionoryllic"

Scale 2685: Ionoryllic, 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
Ionoryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,5,6,9,11}
Forte Number8-13
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1995
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 2685 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 1695
Scale 1695: Phrodyllic, Ian Ring Music TheoryPhrodyllic
3rd mode:
Scale 2895
Scale 2895: Aeoryllic, Ian Ring Music TheoryAeoryllic
4th mode:
Scale 3495
Scale 3495: Banyllic, Ian Ring Music TheoryBanyllic
5th mode:
Scale 3795
Scale 3795: Epothyllic, Ian Ring Music TheoryEpothyllic
6th mode:
Scale 3945
Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
7th mode:
Scale 1005
Scale 1005: Radyllic, Ian Ring Music TheoryRadyllic
8th mode:
Scale 1275
Scale 1275: Stagyllic, Ian Ring Music TheoryStagyllic

Prime

The prime form of this scale is Scale 735

Scale 735Scale 735: Sylyllic, Ian Ring Music TheorySylyllic

Complement

The octatonic modal family [2685, 1695, 2895, 3495, 3795, 3945, 1005, 1275] (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 2685 is 1995

Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2685 is chiral, and its enantiomorph is scale 1995

Scale 1995Scale 1995: Aeolacryllic, Ian Ring Music TheoryAeolacryllic

Transformations:

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

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 2687Scale 2687: Thacrygic, Ian Ring Music TheoryThacrygic
Scale 2681Scale 2681: Aerycrian, Ian Ring Music TheoryAerycrian
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 2677Scale 2677: Thodian, Ian Ring Music TheoryThodian
Scale 2669Scale 2669: Jeths' Mode, Ian Ring Music TheoryJeths' Mode
Scale 2653Scale 2653: Sygian, Ian Ring Music TheorySygian
Scale 2621Scale 2621: Ionogian, Ian Ring Music TheoryIonogian
Scale 2749Scale 2749: Katagyllic, Ian Ring Music TheoryKatagyllic
Scale 2813Scale 2813: Zolygic, Ian Ring Music TheoryZolygic
Scale 2941Scale 2941: Laptygic, Ian Ring Music TheoryLaptygic
Scale 2173Scale 2173, Ian Ring Music Theory
Scale 2429Scale 2429: Kadyllic, Ian Ring Music TheoryKadyllic
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3709Scale 3709: Katynygic, Ian Ring Music TheoryKatynygic
Scale 637Scale 637: Debussy's Heptatonic, Ian Ring Music TheoryDebussy's Heptatonic
Scale 1661Scale 1661: Gonyllic, Ian Ring Music TheoryGonyllic

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.