The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2789: "Zolian"

Scale 2789: Zolian, 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
Zolian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,5,6,7,9,11}
Forte Number7-29
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1259
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections2
Modes6
Prime?no
prime: 727
Deep Scaleno
Interval Vector344352
Interval Spectrump5m3n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6}
<4> = {6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 2789 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1721
Scale 1721: Mela Vagadhisvari, Ian Ring Music TheoryMela Vagadhisvari
3rd mode:
Scale 727
Scale 727: Phradian, Ian Ring Music TheoryPhradianThis is the prime mode
4th mode:
Scale 2411
Scale 2411: Aeolorian, Ian Ring Music TheoryAeolorian
5th mode:
Scale 3253
Scale 3253: Mela Naganandini, Ian Ring Music TheoryMela Naganandini
6th mode:
Scale 1837
Scale 1837: Dalian, Ian Ring Music TheoryDalian
7th mode:
Scale 1483
Scale 1483: Mela Bhavapriya, Ian Ring Music TheoryMela Bhavapriya

Prime

The prime form of this scale is Scale 727

Scale 727Scale 727: Phradian, Ian Ring Music TheoryPhradian

Complement

The heptatonic modal family [2789, 1721, 727, 2411, 3253, 1837, 1483] (Forte: 7-29) is the complement of the pentatonic modal family [331, 709, 1201, 1577, 2213] (Forte: 5-29)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2789 is 1259

Scale 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2789 is chiral, and its enantiomorph is scale 1259

Scale 1259Scale 1259: Stadian, Ian Ring Music TheoryStadian

Transformations:

T0 2789  T0I 1259
T1 1483  T1I 2518
T2 2966  T2I 941
T3 1837  T3I 1882
T4 3674  T4I 3764
T5 3253  T5I 3433
T6 2411  T6I 2771
T7 727  T7I 1447
T8 1454  T8I 2894
T9 2908  T9I 1693
T10 1721  T10I 3386
T11 3442  T11I 2677

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 2791Scale 2791: Mixothyllic, Ian Ring Music TheoryMixothyllic
Scale 2785Scale 2785, Ian Ring Music Theory
Scale 2787Scale 2787: Zyrian, Ian Ring Music TheoryZyrian
Scale 2793Scale 2793: Eporian, Ian Ring Music TheoryEporian
Scale 2797Scale 2797: Stalyllic, Ian Ring Music TheoryStalyllic
Scale 2805Scale 2805: Ishikotsucho, Ian Ring Music TheoryIshikotsucho
Scale 2757Scale 2757: Raga Nishadi, Ian Ring Music TheoryRaga Nishadi
Scale 2773Scale 2773: Lydian, Ian Ring Music TheoryLydian
Scale 2725Scale 2725: Raga Nagagandhari, Ian Ring Music TheoryRaga Nagagandhari
Scale 2661Scale 2661: Stydimic, Ian Ring Music TheoryStydimic
Scale 2917Scale 2917: Nohkan Flute Scale, Ian Ring Music TheoryNohkan Flute Scale
Scale 3045Scale 3045: Raptyllic, Ian Ring Music TheoryRaptyllic
Scale 2277Scale 2277: Kagimic, Ian Ring Music TheoryKagimic
Scale 2533Scale 2533: Podian, Ian Ring Music TheoryPodian
Scale 3301Scale 3301: Chromatic Mixolydian Inverse, Ian Ring Music TheoryChromatic Mixolydian Inverse
Scale 3813Scale 3813: Aeologyllic, Ian Ring Music TheoryAeologyllic
Scale 741Scale 741: Gathimic, Ian Ring Music TheoryGathimic
Scale 1765Scale 1765: Lonian, Ian Ring Music TheoryLonian

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.