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Scale 3865: "Starian"

Scale 3865: Starian, 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
Starian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,4,8,9,10,11}
Forte Number7-6
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 799
Hemitonia5 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 415
Deep Scaleno
Interval Vector533442
Interval Spectrump4m4n3s3d5t2
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {8,9,11}
Spectra Variation3.143
Maximally Evenno
Maximal Area Setno
Interior Area2.183
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3865 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 995
Scale 995: Phrathian, Ian Ring Music TheoryPhrathian
3rd mode:
Scale 2545
Scale 2545: Thycrian, Ian Ring Music TheoryThycrian
4th mode:
Scale 415
Scale 415: Aeoladian, Ian Ring Music TheoryAeoladianThis is the prime mode
5th mode:
Scale 2255
Scale 2255: Dylian, Ian Ring Music TheoryDylian
6th mode:
Scale 3175
Scale 3175: Eponian, Ian Ring Music TheoryEponian
7th mode:
Scale 3635
Scale 3635: Katygian, Ian Ring Music TheoryKatygian

Prime

The prime form of this scale is Scale 415

Scale 415Scale 415: Aeoladian, Ian Ring Music TheoryAeoladian

Complement

The heptatonic modal family [3865, 995, 2545, 415, 2255, 3175, 3635] (Forte: 7-6) is the complement of the pentatonic modal family [103, 899, 2099, 2497, 3097] (Forte: 5-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3865 is 799

Scale 799Scale 799: Lolian, Ian Ring Music TheoryLolian

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 3865 is chiral, and its enantiomorph is scale 799

Scale 799Scale 799: Lolian, Ian Ring Music TheoryLolian

Transformations:

T0 3865  T0I 799
T1 3635  T1I 1598
T2 3175  T2I 3196
T3 2255  T3I 2297
T4 415  T4I 499
T5 830  T5I 998
T6 1660  T6I 1996
T7 3320  T7I 3992
T8 2545  T8I 3889
T9 995  T9I 3683
T10 1990  T10I 3271
T11 3980  T11I 2447

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 3867Scale 3867: Storyllic, Ian Ring Music TheoryStoryllic
Scale 3869Scale 3869: Bygyllic, Ian Ring Music TheoryBygyllic
Scale 3857Scale 3857: Ponimic, Ian Ring Music TheoryPonimic
Scale 3861Scale 3861: Phroptian, Ian Ring Music TheoryPhroptian
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 3881Scale 3881: Morian, Ian Ring Music TheoryMorian
Scale 3897Scale 3897: Kalyllic, Ian Ring Music TheoryKalyllic
Scale 3929Scale 3929: Aeolothyllic, Ian Ring Music TheoryAeolothyllic
Scale 3993Scale 3993: Ioniptyllic, Ian Ring Music TheoryIoniptyllic
Scale 3609Scale 3609, Ian Ring Music Theory
Scale 3737Scale 3737: Phrocrian, Ian Ring Music TheoryPhrocrian
Scale 3353Scale 3353: Phraptimic, Ian Ring Music TheoryPhraptimic
Scale 2841Scale 2841: Sothimic, Ian Ring Music TheorySothimic
Scale 1817Scale 1817: Phrythimic, Ian Ring Music TheoryPhrythimic

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.