The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1879: "Mixoryllic"

Scale 1879: Mixoryllic, 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
Mixoryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,6,8,9,10}
Forte Number8-24
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes7
Prime?no
prime: 1399
Deep Scaleno
Interval Vector464743
Interval Spectrump4m7n4s6d4t3
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1.5
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[10]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1879 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2987
Scale 2987: Neapolitan Major and Minor Mixed, Ian Ring Music TheoryNeapolitan Major and Minor Mixed
3rd mode:
Scale 3541
Scale 3541: Racryllic, Ian Ring Music TheoryRacryllic
4th mode:
Scale 1909
Scale 1909: Epicryllic, Ian Ring Music TheoryEpicryllic
5th mode:
Scale 1501
Scale 1501: Stygyllic, Ian Ring Music TheoryStygyllic
6th mode:
Scale 1399
Scale 1399: Syryllic, Ian Ring Music TheorySyryllicThis is the prime mode
7th mode:
Scale 2747
Scale 2747: Stythyllic, Ian Ring Music TheoryStythyllic
8th mode:
Scale 3421
Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic

Prime

The prime form of this scale is Scale 1399

Scale 1399Scale 1399: Syryllic, Ian Ring Music TheorySyryllic

Complement

The octatonic modal family [1879, 2987, 3541, 1909, 1501, 1399, 2747, 3421] (Forte: 8-24) is the complement of the tetratonic modal family [277, 337, 1093, 1297] (Forte: 4-24)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1879 is 3421

Scale 3421Scale 3421: Aerothyllic, Ian Ring Music TheoryAerothyllic

Transformations:

T0 1879  T0I 3421
T1 3758  T1I 2747
T2 3421  T2I 1399
T3 2747  T3I 2798
T4 1399  T4I 1501
T5 2798  T5I 3002
T6 1501  T6I 1909
T7 3002  T7I 3818
T8 1909  T8I 3541
T9 3818  T9I 2987
T10 3541  T10I 1879
T11 2987  T11I 3758

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 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian
Scale 1875Scale 1875: Persichetti Scale, Ian Ring Music TheoryPersichetti Scale
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1887Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
Scale 1863Scale 1863: Pycrian, Ian Ring Music TheoryPycrian
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 1895Scale 1895: Salyllic, Ian Ring Music TheorySalyllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
Scale 1943Scale 1943, Ian Ring Music Theory
Scale 2007Scale 2007: Stonygic, Ian Ring Music TheoryStonygic
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1751Scale 1751: Aeolyryllic, Ian Ring Music TheoryAeolyryllic
Scale 1367Scale 1367: Leading Whole-Tone Inverse, Ian Ring Music TheoryLeading Whole-Tone Inverse
Scale 855Scale 855: Porian, Ian Ring Music TheoryPorian
Scale 2903Scale 2903: Gothyllic, Ian Ring Music TheoryGothyllic
Scale 3927Scale 3927: Monygic, Ian Ring Music TheoryMonygic

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.