PLAINSOUND HARMONIC SPACE CALCULATOR

USER GUIDE | GitHub
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decimal places

REFERENCE PITCH
notation & frequency of 1/1


octave (Middle C = C4)

12edo diatonic note

12edo accidental


1/1 frequency (Hz)



tuning meter setting


1/1 = 0 cents
tuning meter A4 frequency = 0 cents

tuning meter A4 frequency



INPUT 1
HEJI notation


octave

Pythagorean diatonic note

HEJI accidentals

5° u5
7° u7
u11 11°
13° u13
17° u17
u19 19°
u23 23°
u29 29°
31° u31
u37 37°
u41 41°
u43 43°
47° u47

INPUT 2
JI ratio (input × offset)


offset ratio


 
input ratio


 


OUTPUT
normalise


HEJI notation

ratio
tuning meter
frequency
cents from reference
0

software pitch bends

from nearest MIDI pitch

Sibelius pb range ± cents
command
~B 0,64
Finale pb range ± cents
value
Musescore “tuning” ± 200 cents
cent value

MELODIC DISTANCE
from ratio I to ratio II


ratio I


 
ratio II


 

melodic ratio
1 : 1

melodic step in cents
0.00
frequency difference
0.000000

SCALE BUILDER
Scala file format


filename



short description



 

current # of pitches
1

remove pitch from scale



download file

Note:
1/1 is implicit in the Scala file format;
input pitches are automatically normalised
and sorted, thus scales are octave-repeating.

AUTO-NORMALISED ENHARMONIC PITCH-CLASS COMPARISON

simplified to a Pythagorean notation modified, optionally, by up to
3 syntonic commas and/or one of the primes 7, 11 or 13, and
inflected by up to 3 strokes each signifying ca. 1/6-comma
19° = 512:513 | 17° = 255:256 | 29° = 144:145

primes to include
3     5     7     11     13     17     19     29     toggle 17-19-29 (strokes)
cent input (interval to ref)


frequency input (interval to ref)



tolerance range (0 - 1200 c)

minimum & maximum HD values
  
maximum size of output list



sort by cents deviation   sort by HD
3 5 7 11 13 17 19 23 29 ratio interval (cents) delta (cents) HD HE notation