The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1591: "Rodian"

Scale 1591: Rodian, 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
Rodian

Analysis

Cardinality7 (heptatonic)
Pitch Class Set{0,1,2,4,5,9,10}
Forte Number7-Z37
Rotational Symmetrynone
Reflection Axes1
Palindromicno
Chiralityno
Hemitonia4 (multihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes6
Prime?no
prime: 443
Deep Scaleno
Interval Vector434541
Interval Spectrump4m5n4s3d4t
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {4,6,7}
<4> = {5,6,8}
<5> = {7,9,10}
<6> = {8,10,11}
Spectra Variation2.571
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[2]
ProprietyImproper
Heliotonicyes

Harmonic Chords

Modes

Modes are the rotational transformation of this scale. Scale 1591 can be rotated to make 6 other scales. The 1st mode is itself.

2nd mode:
Scale 2843
Scale 2843: Sorian, Ian Ring Music TheorySorian
3rd mode:
Scale 3469
Scale 3469: Monian, Ian Ring Music TheoryMonian
4th mode:
Scale 1891
Scale 1891: Thalian, Ian Ring Music TheoryThalian
5th mode:
Scale 2993
Scale 2993: Stythian, Ian Ring Music TheoryStythian
6th mode:
Scale 443
Scale 443: Kothian, Ian Ring Music TheoryKothianThis is the prime mode
7th mode:
Scale 2269
Scale 2269: Pygian, Ian Ring Music TheoryPygian

Prime

The prime form of this scale is Scale 443

Scale 443Scale 443: Kothian, Ian Ring Music TheoryKothian

Complement

The heptatonic modal family [1591, 2843, 3469, 1891, 2993, 443, 2269] (Forte: 7-Z37) is the complement of the pentatonic modal family [313, 551, 913, 2323, 3209] (Forte: 5-Z37)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1591 is 3469

Scale 3469Scale 3469: Monian, Ian Ring Music TheoryMonian

Transformations:

T0 1591  T0I 3469
T1 3182  T1I 2843
T2 2269  T2I 1591
T3 443  T3I 3182
T4 886  T4I 2269
T5 1772  T5I 443
T6 3544  T6I 886
T7 2993  T7I 1772
T8 1891  T8I 3544
T9 3782  T9I 2993
T10 3469  T10I 1891
T11 2843  T11I 3782

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 1589Scale 1589: Raga Rageshri, Ian Ring Music TheoryRaga Rageshri
Scale 1587Scale 1587: Raga Rudra Pancama, Ian Ring Music TheoryRaga Rudra Pancama
Scale 1595Scale 1595: Dacrian, Ian Ring Music TheoryDacrian
Scale 1599Scale 1599: Pocryllic, Ian Ring Music TheoryPocryllic
Scale 1575Scale 1575: Zycrimic, Ian Ring Music TheoryZycrimic
Scale 1583Scale 1583: Salian, Ian Ring Music TheorySalian
Scale 1559Scale 1559, Ian Ring Music Theory
Scale 1623Scale 1623: Lothian, Ian Ring Music TheoryLothian
Scale 1655Scale 1655: Katygyllic, Ian Ring Music TheoryKatygyllic
Scale 1719Scale 1719: Lyryllic, Ian Ring Music TheoryLyryllic
Scale 1847Scale 1847: Thacryllic, Ian Ring Music TheoryThacryllic
Scale 1079Scale 1079, Ian Ring Music Theory
Scale 1335Scale 1335: Elephant Scale, Ian Ring Music TheoryElephant Scale
Scale 567Scale 567: Aeoladimic, Ian Ring Music TheoryAeoladimic
Scale 2615Scale 2615: Thoptian, Ian Ring Music TheoryThoptian
Scale 3639Scale 3639: Paptyllic, Ian Ring Music TheoryPaptyllic

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.