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Scale 1885: "Saptyllic"

Scale 1885: Saptyllic, 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
Saptyllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,2,3,4,6,8,9,10}
Forte Number8-25
Rotational Symmetry6 semitones
Reflection Axes0, 3
Palindromicyes
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections4
Modes3
Prime?no
prime: 1495
Deep Scaleno
Interval Vector464644
Interval Spectrump4m6n4s6d4t4
Distribution Spectra<1> = {1,2}
<2> = {2,3,4}
<3> = {4,5}
<4> = {6}
<5> = {7,8}
<6> = {8,9,10}
<7> = {10,11}
Spectra Variation1
Maximally Evenno
Myhill Propertyno
Balancedyes
Ridge Tones[0,6]
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1885 can be rotated to make 3 other scales. The 1st mode is itself.

2nd mode:
Scale 1495
Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6This is the prime mode
3rd mode:
Scale 2795
Scale 2795: Van der Horst Octatonic, Ian Ring Music TheoryVan der Horst Octatonic
4th mode:
Scale 3445
Scale 3445: Messiaen Mode 6 Inverse, Ian Ring Music TheoryMessiaen Mode 6 Inverse

Prime

The prime form of this scale is Scale 1495

Scale 1495Scale 1495: Messiaen Mode 6, Ian Ring Music TheoryMessiaen Mode 6

Complement

The octatonic modal family [1885, 1495, 2795, 3445] (Forte: 8-25) is the complement of the tetratonic modal family [325, 1105] (Forte: 4-25)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1885 is itself, because it is a palindromic scale!

Scale 1885Scale 1885: Saptyllic, Ian Ring Music TheorySaptyllic

Transformations:

T0 1885  T0I 1885
T1 3770  T1I 3770
T2 3445  T2I 3445
T3 2795  T3I 2795
T4 1495  T4I 1495
T5 2990  T5I 2990
T6 1885  T6I 1885
T7 3770  T7I 3770
T8 3445  T8I 3445
T9 2795  T9I 2795
T10 1495  T10I 1495
T11 2990  T11I 2990

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 1887Scale 1887: Aerocrygic, Ian Ring Music TheoryAerocrygic
Scale 1881Scale 1881: Katorian, Ian Ring Music TheoryKatorian
Scale 1883Scale 1883, Ian Ring Music Theory
Scale 1877Scale 1877: Aeroptian, Ian Ring Music TheoryAeroptian
Scale 1869Scale 1869: Katyrian, Ian Ring Music TheoryKatyrian
Scale 1901Scale 1901: Ionidyllic, Ian Ring Music TheoryIonidyllic
Scale 1917Scale 1917: Thydyllian, Ian Ring Music TheoryThydyllian
Scale 1821Scale 1821: Aeradian, Ian Ring Music TheoryAeradian
Scale 1853Scale 1853: Maryllic, Ian Ring Music TheoryMaryllic
Scale 1949Scale 1949: Mathyllic, Ian Ring Music TheoryMathyllic
Scale 2013Scale 2013: Mocrygic, Ian Ring Music TheoryMocrygic
Scale 1629Scale 1629: Synian, Ian Ring Music TheorySynian
Scale 1757Scale 1757, Ian Ring Music Theory
Scale 1373Scale 1373: Storian, Ian Ring Music TheoryStorian
Scale 861Scale 861: Rylian, Ian Ring Music TheoryRylian
Scale 2909Scale 2909: Mocryllic, Ian Ring Music TheoryMocryllic
Scale 3933Scale 3933: Ionidygic, Ian Ring Music TheoryIonidygic

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.