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Scale 3881: "Morian"

Scale 3881: Morian, 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
Morian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,3,5,8,9,10,11}
Forte Number7-Z12
Rotational Symmetrynone
Reflection Axes4
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia3 (tricohemitonic)
Imperfections3
Modes6
Prime?no
prime: 671
Deep Scaleno
Interval Vector444342
Interval Spectrump4m3n4s4d4t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,4,5}
<3> = {3,5,6,8}
<4> = {4,6,7,9}
<5> = {7,8,10}
<6> = {9,10,11}
Spectra Variation2.857
Maximally Evenno
Maximal Area Setno
Interior Area2.433
Myhill Propertyno
Balancedno
Ridge Tones[8]
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsF{5,9,0}231.5
G♯{8,0,3}321.17
Minor Triadsfm{5,8,0}321.17
g♯m{8,11,3}231.5
Diminished Triads{5,8,11}231.5
{9,0,3}231.5
Parsimonious Voice Leading Between Common Triads of Scale 3881. Created by Ian Ring ©2019 fm fm f°->fm g#m g#m f°->g#m F F fm->F G# G# fm->G# F->a° g#m->G# G#->a°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter3
Radius2
Self-Centeredno
Central Verticesfm, G♯
Peripheral Verticesf°, F, g♯m, a°

Modes

Modes are the rotational transformation of this scale. Scale 3881 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 997
Scale 997: Rycrian, Ian Ring Music TheoryRycrian
3rd mode:
Scale 1273
Scale 1273: Ronian, Ian Ring Music TheoryRonian
4th mode:
Scale 671
Scale 671: Stycrian, Ian Ring Music TheoryStycrianThis is the prime mode
5th mode:
Scale 2383
Scale 2383: Katorian, Ian Ring Music TheoryKatorian
6th mode:
Scale 3239
Scale 3239: Mela Tanarupi, Ian Ring Music TheoryMela Tanarupi
7th mode:
Scale 3667
Scale 3667: Kaptian, Ian Ring Music TheoryKaptian

Prime

The prime form of this scale is Scale 671

Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian

Complement

The heptatonic modal family [3881, 997, 1273, 671, 2383, 3239, 3667] (Forte: 7-Z12) is the complement of the pentatonic modal family [107, 1411, 1549, 2101, 2753] (Forte: 5-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3881 is 671

Scale 671Scale 671: Stycrian, Ian Ring Music TheoryStycrian

Transformations:

T0 3881  T0I 671
T1 3667  T1I 1342
T2 3239  T2I 2684
T3 2383  T3I 1273
T4 671  T4I 2546
T5 1342  T5I 997
T6 2684  T6I 1994
T7 1273  T7I 3988
T8 2546  T8I 3881
T9 997  T9I 3667
T10 1994  T10I 3239
T11 3988  T11I 2383

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 3883Scale 3883: Kyryllic, Ian Ring Music TheoryKyryllic
Scale 3885Scale 3885: Styryllic, Ian Ring Music TheoryStyryllic
Scale 3873Scale 3873, Ian Ring Music Theory
Scale 3877Scale 3877: Thanian, Ian Ring Music TheoryThanian
Scale 3889Scale 3889: Parian, Ian Ring Music TheoryParian
Scale 3897Scale 3897: Kalyllic, Ian Ring Music TheoryKalyllic
Scale 3849Scale 3849, Ian Ring Music Theory
Scale 3865Scale 3865: Starian, Ian Ring Music TheoryStarian
Scale 3913Scale 3913: Bonian, Ian Ring Music TheoryBonian
Scale 3945Scale 3945: Lydyllic, Ian Ring Music TheoryLydyllic
Scale 4009Scale 4009: Phranyllic, Ian Ring Music TheoryPhranyllic
Scale 3625Scale 3625: Podimic, Ian Ring Music TheoryPodimic
Scale 3753Scale 3753: Phraptian, Ian Ring Music TheoryPhraptian
Scale 3369Scale 3369: Mixolimic, Ian Ring Music TheoryMixolimic
Scale 2857Scale 2857: Stythimic, Ian Ring Music TheoryStythimic
Scale 1833Scale 1833: Ionacrimic, Ian Ring Music TheoryIonacrimic

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission. Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.