The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1887: "Aerocrygic"

Scale 1887: Aerocrygic, 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
Aerocrygic

Analysis

Cardinality9 (nonatonic)
Pitch Class Set{0,1,2,3,4,6,8,9,10}
Forte Number9-8
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 3933
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections3
Modes8
Prime?no
prime: 1503
Deep Scaleno
Interval Vector676764
Interval Spectrump6m7n6s7d6t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {3,4,5}
<4> = {4,5,6}
<5> = {6,7,8}
<6> = {7,8,9}
<7> = {8,9,10}
<8> = {10,11}
Spectra Variation1.556
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1887 can be rotated to make 8 other scales. The 1st mode is itself.

2nd mode:
Scale 2991
Scale 2991: Zanygic, Ian Ring Music TheoryZanygic
3rd mode:
Scale 3543
Scale 3543: Aeolonygic, Ian Ring Music TheoryAeolonygic
4th mode:
Scale 3819
Scale 3819: Aeolanygic, Ian Ring Music TheoryAeolanygic
5th mode:
Scale 3957
Scale 3957: Porygic, Ian Ring Music TheoryPorygic
6th mode:
Scale 2013
Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
7th mode:
Scale 1527
Scale 1527: Aeolyrigic, Ian Ring Music TheoryAeolyrigic
8th mode:
Scale 2811
Scale 2811: Barygic, Ian Ring Music TheoryBarygic
9th mode:
Scale 3453
Scale 3453: Katarygic, Ian Ring Music TheoryKatarygic

Prime

The prime form of this scale is Scale 1503

Scale 1503Scale 1503: Epiryllian, Ian Ring Music TheoryEpiryllian

Complement

The nonatonic modal family [1887, 2991, 3543, 3819, 3957, 2013, 1527, 2811, 3453] (Forte: 9-8) is the complement of the tritonic modal family [69, 321, 1041] (Forte: 3-8)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1887 is 3933

Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1887 is chiral, and its enantiomorph is scale 3933

Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic

Transformations:

T0 1887  T0I 3933
T1 3774  T1I 3771
T2 3453  T2I 3447
T3 2811  T3I 2799
T4 1527  T4I 1503
T5 3054  T5I 3006
T6 2013  T6I 1917
T7 4026  T7I 3834
T8 3957  T8I 3573
T9 3819  T9I 3051
T10 3543  T10I 2007
T11 2991  T11I 4014

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 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
Scale 1871Scale 1871: Aeolyllic, Ian Ring Music TheoryAeolyllic
Scale 1903Scale 1903: Rocrygic, Ian Ring Music TheoryRocrygic
Scale 1919Scale 1919: Rocryllian, Ian Ring Music TheoryRocryllian
Scale 1823Scale 1823: Phralyllic, Ian Ring Music TheoryPhralyllic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 1951Scale 1951: Marygic, Ian Ring Music TheoryMarygic
Scale 2015Scale 2015: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7
Scale 1631Scale 1631: Rynyllic, Ian Ring Music TheoryRynyllic
Scale 1759Scale 1759: Pylygic, Ian Ring Music TheoryPylygic
Scale 1375Scale 1375: Bothyllic, Ian Ring Music TheoryBothyllic
Scale 863Scale 863: Pyryllic, Ian Ring Music TheoryPyryllic
Scale 2911Scale 2911: Katygic, Ian Ring Music TheoryKatygic
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian

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.