The Exciting Universe Of Music Theory

more than you ever wanted to know about...

Scale 1847: "Thacryllic"

Scale 1847: Thacryllic, 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.

Tonnetz Diagram

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



Cardinality8 (octatonic)
Pitch Class Set{0,1,2,4,5,8,9,10}
Forte Number8-19
Rotational Symmetrynone
Reflection Axesnone
enantiomorph: 3485
Hemitonia5 (multihemitonic)
Cohemitonia2 (dicohemitonic)
prime: 887
Deep Scaleno
Interval Vector545752
Interval Spectrump5m7n5s4d5t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,4}
<3> = {4,5,6}
<4> = {5,6,7}
<5> = {6,7,8}
<6> = {8,9,10}
<7> = {9,10,11}
Spectra Variation1.75
Maximally Evenno
Myhill Propertyno
Ridge Tonesnone


Modes are the rotational transformation of this scale. Scale 1847 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 2971
Scale 2971: Aeolynyllic, Ian Ring Music TheoryAeolynyllic
3rd mode:
Scale 3533
Scale 3533: Thadyllic, Ian Ring Music TheoryThadyllic
4th mode:
Scale 1907
Scale 1907: Lynyllic, Ian Ring Music TheoryLynyllic
5th mode:
Scale 3001
Scale 3001: Lonyllic, Ian Ring Music TheoryLonyllic
6th mode:
Scale 887
Scale 887: Sathyllic, Ian Ring Music TheorySathyllicThis is the prime mode
7th mode:
Scale 2491
Scale 2491: Layllic, Ian Ring Music TheoryLayllic
8th mode:
Scale 3293
Scale 3293: Saryllic, Ian Ring Music TheorySaryllic


The prime form of this scale is Scale 887

Scale 887Scale 887: Sathyllic, Ian Ring Music TheorySathyllic


The octatonic modal family [1847, 2971, 3533, 1907, 3001, 887, 2491, 3293] (Forte: 8-19) is the complement of the tetratonic modal family [275, 305, 785, 2185] (Forte: 4-19)


The inverse of a scale is a reflection using the root as its axis. The inverse of 1847 is 3485

Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach


Only scales that are chiral will have an enantiomorph. Scale 1847 is chiral, and its enantiomorph is scale 3485

Scale 3485Scale 3485: Sabach, Ian Ring Music TheorySabach


T0 1847  T0I 3485
T1 3694  T1I 2875
T2 3293  T2I 1655
T3 2491  T3I 3310
T4 887  T4I 2525
T5 1774  T5I 955
T6 3548  T6I 1910
T7 3001  T7I 3820
T8 1907  T8I 3545
T9 3814  T9I 2995
T10 3533  T10I 1895
T11 2971  T11I 3790

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 1845Scale 1845: Lagian, Ian Ring Music TheoryLagian
Scale 1843Scale 1843: Ionygian, Ian Ring Music TheoryIonygian
Scale 1851Scale 1851: Zacryllic, Ian Ring Music TheoryZacryllic
Scale 1855Scale 1855: Gaptygic, Ian Ring Music TheoryGaptygic
Scale 1831Scale 1831: Pothian, Ian Ring Music TheoryPothian
Scale 1839Scale 1839: Zogyllic, Ian Ring Music TheoryZogyllic
Scale 1815Scale 1815: Godian, Ian Ring Music TheoryGodian
Scale 1879Scale 1879: Mixoryllic, Ian Ring Music TheoryMixoryllic
Scale 1911Scale 1911: Messiaen Mode 3, Ian Ring Music TheoryMessiaen Mode 3
Scale 1975Scale 1975: Ionocrygic, Ian Ring Music TheoryIonocrygic
Scale 1591Scale 1591: Rodian, Ian Ring Music TheoryRodian
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 823Scale 823: Stodian, Ian Ring Music TheoryStodian
Scale 2871Scale 2871: Stanyllic, Ian Ring Music TheoryStanyllic
Scale 3895Scale 3895: Eparygic, Ian Ring Music TheoryEparygic

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. Bibliography