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-steps of 10ed2 closely approximates the 13th harmonic. The 13th harmonic is close to acoustic phi. If we divide acoustic phi into 7 steps, then 10 of those steps gets us close to an octave.
+steps of 10ed2 closely approximates the 13th harmonic. The 13th harmonic is close to acoustic phi (1.618033989). If we divide acoustic phi into 7 steps, then 10 of those steps gets us close to an octave.
+{| class="wikitable"
+|+
+|
+| colspan="4" |'''10ed2'''
+| colspan="4" |'''7edφ'''
+|-
+|'''scale step'''
+|'''frequency multiplier (definition)'''
+|'''10ed2 frequency multiplier (decimal)'''
+|'''pitch (¢)'''
+|'''Δ (¢)'''
+|'''frequency multiplier (definition)'''
+|'''frequency multiplier (decimal)'''
+|'''pitch (¢)'''
+|'''Δ (¢)'''
+|-
+|'''1'''
+|2^(1/10)
+|1.071773463
+|120
+|120
+|
+|1.071162542
+|119.0128995
+|119.0128995
+|-
+|'''2'''
+|
+|1.148698355
+|240
+|120
+|
+|1.147389191
+|238.025799
+|119.0128995
+|-
+|'''3'''
+|
+|1.231144413
+|360
+|120
+|
+|1.229040323
+|357.0386984
+|119.0128995
+|-
+|'''4'''
+|
+|1.319507911
+|480
+|120
+|
+|1.316501956
+|476.0515979
+|119.0128995
+|-
+|'''5'''
+|
+|1.414213562
+|600
+|120
+|
+|1.410187582
+|595.0644974
+|119.0128995
+|-
+|'''6'''
+|
+|1.515716567
+|720
+|120
+|
+|1.510540115
+|714.0773969
+|119.0128995
+|-
+|'''7'''
+|
+|1.624504793
+|840
+|120
+|
+|1.618033989
+|833.0902964
+|119.0128995
+|-
+|'''8'''
+|
+|1.741101127
+|960
+|120
+|
+|1.7331774
+|952.1031958
+|119.0128995
+|-
+|'''9'''
+|
+|1.866065983
+|1080
+|120
+|
+|1.85651471
+|1071.116095
+|119.0128995
+|-
+|'''10'''
+|
+|2
+|1200
+|120
+|
+|1.988629015
+|1190.128995
+|119.0128995
+|}