The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 885: "Sathian"

Scale 885: Sathian, 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
Sathian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,2,4,5,6,8,9}
Forte Number7-26
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1497
Hemitonia3 (trihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes6
Prime?no
prime: 699
Deep Scaleno
Interval Vector344532
Interval Spectrump3m5n4s4d3t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4,5}
<3> = {4,5,6,7}
<4> = {5,6,7,8}
<5> = {7,8,9,10}
<6> = {9,10,11}
Spectra Variation2.286
Maximally Evenno
Maximal Area Setno
Interior Area2.549
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 885 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 1245
Scale 1245: Lathian, Ian Ring Music TheoryLathian
3rd mode:
Scale 1335
Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
4th mode:
Scale 2715
Scale 2715: Kynian, Ian Ring Music TheoryKynian
5th mode:
Scale 3405
Scale 3405: Stynian, Ian Ring Music TheoryStynian
6th mode:
Scale 1875
Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
7th mode:
Scale 2985
Scale 2985: Epacrian, Ian Ring Music TheoryEpacrian

Prime

The prime form of this scale is Scale 699

Scale 699Scale 699: Aerothian, Ian Ring Music TheoryAerothian

Complement

The heptatonic modal family [885, 1245, 1335, 2715, 3405, 1875, 2985] (Forte: 7-26) is the complement of the pentatonic modal family [309, 849, 1101, 1299, 2697] (Forte: 5-26)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 885 is 1497

Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 885 is chiral, and its enantiomorph is scale 1497

Scale 1497Scale 1497: Mela Jyotisvarupini, Ian Ring Music TheoryMela Jyotisvarupini

Transformations:

T0 885  T0I 1497
T1 1770  T1I 2994
T2 3540  T2I 1893
T3 2985  T3I 3786
T4 1875  T4I 3477
T5 3750  T5I 2859
T6 3405  T6I 1623
T7 2715  T7I 3246
T8 1335  T8I 2397
T9 2670  T9I 699
T10 1245  T10I 1398
T11 2490  T11I 2796

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 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic
Scale 881Scale 881: Aerothimic, Ian Ring Music TheoryAerothimic
Scale 883Scale 883: Ralian, Ian Ring Music TheoryRalian
Scale 889Scale 889: Borian, Ian Ring Music TheoryBorian
Scale 893Scale 893: Dadyllic, Ian Ring Music TheoryDadyllic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 877Scale 877: Moravian Pistalkova, Ian Ring Music TheoryMoravian Pistalkova
Scale 853Scale 853: Epothimic, Ian Ring Music TheoryEpothimic
Scale 821Scale 821: Aeranimic, Ian Ring Music TheoryAeranimic
Scale 949Scale 949: Mela Mararanjani, Ian Ring Music TheoryMela Mararanjani
Scale 1013Scale 1013: Stydyllic, Ian Ring Music TheoryStydyllic
Scale 629Scale 629: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 757Scale 757: Ionyptian, Ian Ring Music TheoryIonyptian
Scale 373Scale 373: Epagimic, Ian Ring Music TheoryEpagimic
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1909Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic
Scale 2933Scale 2933, Ian Ring Music Theory

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.