Ten of them were not ten times as loud

# Self-authored for the EML case corpus (no external origin). A restaurant
# measures sixty decibels with one table talking and eighty with the room full,
# reads the meter as a third more noise, and buys acoustic panels rated to
# absorb half the sound in the room. What twenty decibels is in sound energy,
# and what half the energy is in decibels, is computed below.
#
# The reasoning is careful. Both meter readings are accurate; eighty is exactly
# a third more than sixty; the panels genuinely absorb half the sound energy
# that reaches them; and the intent is exactly 'bring the room back toward
# the quiet reading'.
#
# Decibels count factors of ten in sound energy, ten of them per tenfold, so
# twenty more decibels is a hundred times the energy and not a third more -
# and removing half the energy takes back three decibels of the twenty, while
# getting back to sixty means removing ninety-nine percent of it.

60 => one_table_db
80 => full_room_db
1 => talkers_at_one_table
10 => decibels_per_tenfold_of_energy
3 => decibels_removed_by_halving_the_energy

full_room_db - one_table_db => decibels_added_by_the_room
int(decibels_added_by_the_room / decibels_per_tenfold_of_energy) => tenfolds_of_energy_added
# the two exponents below are that count of tenfolds, written as a literal
10^2 => energy_ratio_full_room_to_one_table
int(full_room_db * 10000 / one_table_db) - 10000 => meter_reading_rose_by_per_myriad
energy_ratio_full_room_to_one_table * 100 - 100 => energy_rose_by_percent
2^2 => times_as_loud_it_sounds
talkers_at_one_table * energy_ratio_full_room_to_one_table => tables_worth_of_talking_the_room_holds
full_room_db - decibels_removed_by_halving_the_energy => reading_after_the_panels_db
reading_after_the_panels_db - one_table_db => decibels_still_above_the_quiet_reading
int((energy_ratio_full_room_to_one_table - 1) * 100 / energy_ratio_full_room_to_one_table) => percent_of_energy_to_remove_to_reach_sixty

"one table talking               : " + str(one_table_db) + " dB" ^0
"full room                       : " + str(full_room_db) + " dB" ^0
"the meter rose by               : " + str(decibels_added_by_the_room) + " dB, " + str(meter_reading_rose_by_per_myriad) + " per ten thousand of the quiet reading" ^0
"" ^0
"tenfolds of energy in " + str(decibels_added_by_the_room) + " dB     : " + str(tenfolds_of_energy_added) ^0
"sound energy, full vs one table : " + str(energy_ratio_full_room_to_one_table) + " times, a rise of " + str(energy_rose_by_percent) + " percent" ^0
"how loud it sounds              : about " + str(times_as_loud_it_sounds) + " times as loud, a doubling per ten decibels" ^0
"tables' worth of talking        : " + str(tables_worth_of_talking_the_room_holds) ^0
"" ^0
"panels absorb half the energy   : minus " + str(decibels_removed_by_halving_the_energy) + " dB, to " + str(reading_after_the_panels_db) + " dB" ^0
"still above the quiet reading   : " + str(decibels_still_above_the_quiet_reading) + " dB" ^0
"energy to remove to reach " + str(one_table_db) + " dB : " + str(percent_of_energy_to_remove_to_reach_sixty) + " percent of it" ^0
"" ^0

# ---- what the owner verified ----

"the third-more reasoning" ^0
"  readings : " + str(one_table_db) + " and " + str(full_room_db) + ", both accurate" ^0
"  arithmetic : " + str(full_room_db) + " is a third more than " + str(one_table_db) ^0
"  panels : absorb half the sound energy, as rated" ^0
"  intent : bring the room back toward the quiet reading" ^0
"  facts wrong : 0" ^0
"  verdict : HALF THE SOUND UNDOES A THIRD MORE" ^0
"" ^0
"  reading the meter accurately is the part done right here," ^0
"  and it is why " + str(decibels_added_by_the_room) + " dB is exactly the rise, on the scale the" ^0
"  meter uses" ^0
"" ^0

# ---- what twenty decibels is ----

"a logarithmic meter" ^0
"  what a decibel counts : factors of ten in energy, " + str(decibels_per_tenfold_of_energy) + " dB per tenfold" ^0
"  " + str(decibels_added_by_the_room) + " dB : " + str(tenfolds_of_energy_added) + " tenfolds, " + str(energy_ratio_full_room_to_one_table) + " times the energy, not a third more" ^0
"  what the ear does with it : roughly doubles the loudness" ^0
"    per ten decibels, so " + str(times_as_loud_it_sounds) + " times as loud" ^0
"  what halving the energy buys : " + str(decibels_removed_by_halving_the_energy) + " dB, one small step on a" ^0
"    scale where the room climbed " + str(decibels_added_by_the_room) ^0
"  what reaching " + str(one_table_db) + " dB costs : removing " + str(percent_of_energy_to_remove_to_reach_sixty) + " percent of the energy" ^0
"" ^0

# ---- what the owner got ----

"the room after the panels" ^0
"  believed : most of the way back to " + str(one_table_db) + " dB" ^0
"  actual : " + str(reading_after_the_panels_db) + " dB, " + str(decibels_still_above_the_quiet_reading) + " above it, and barely noticed" ^0
"  is the meter wrong : no; both readings are right" ^0
"  is " + str(full_room_db) + " a third more noise than " + str(one_table_db) + " : no; it is " + str(energy_ratio_full_room_to_one_table) + " times the" ^0
"    energy, and the scale hid that on purpose" ^0
"" ^0

# ---- null control ----

# The same two readings compared as energy instead of as numbers on the meter.
3333 => nc_rise_read_as_meter_numbers_per_myriad
990000 => nc_rise_read_as_energy_per_myriad
986667 => nc_rise_the_scale_was_hiding_per_myriad

"null control - compare the energy, not the meter numbers" ^0
"  rise, as meter numbers : " + str(nc_rise_read_as_meter_numbers_per_myriad) + " per ten thousand" ^0
"  rise, as energy : " + str(nc_rise_read_as_energy_per_myriad) + " per ten thousand" ^0
"  rise the scale was hiding : " + str(nc_rise_the_scale_was_hiding_per_myriad) + " per ten thousand" ^0
"  no reading and no room changed; the numbers were converted" ^0
"  out of the scale that compresses them" ^0
"" ^0

# ---- the rule ----

"what two accurate decibel readings guarantee" ^0
"  the room rose " + str(decibels_added_by_the_room) + " dB : exactly, on the meter's scale" ^0
"  the room got a third noisier : not addressed; the scale is" ^0
"    logarithmic, " + str(decibels_added_by_the_room) + " dB is " + str(energy_ratio_full_room_to_one_table) + " times the energy, and panels that" ^0
"    remove half of it take back " + str(decibels_removed_by_halving_the_energy) + " dB of the " + str(decibels_added_by_the_room) ^0
"" ^0

"a meter that counts in tenfolds is honest about its own scale and silent" ^0
"about yours; read its numbers as if they were the thing measured and every" ^0
"remedy sized to them will be a hundred times too small" ^0
"" ^0

"The readings are exact: " + str(one_table_db) + " then " + str(full_room_db) + " dB. But decibels count tenfolds," ^0
"so the room holds " + str(energy_ratio_full_room_to_one_table) + " times the sound energy of one table, not a third more," ^0
"and panels that absorb half of it bring the meter down " + str(decibels_removed_by_halving_the_energy) + " dB to " + str(reading_after_the_panels_db) + ", still " + str(decibels_still_above_the_quiet_reading) ^0
"above the quiet reading, until the rise is read as energy rather than as digits." ^0

one_table_db = 60
full_room_db = 80
talkers_at_one_table = 1
decibels_per_tenfold_of_energy = 10
decibels_removed_by_halving_the_energy = 3
decibels_added_by_the_room = full_room_db - one_table_db
tenfolds_of_energy_added = int(decibels_added_by_the_room / decibels_per_tenfold_of_energy)
energy_ratio_full_room_to_one_table = 10**2
meter_reading_rose_by_per_myriad = int(full_room_db * 10000 / one_table_db) - 10000
energy_rose_by_percent = energy_ratio_full_room_to_one_table * 100 - 100
times_as_loud_it_sounds = 2**2
tables_worth_of_talking_the_room_holds = talkers_at_one_table * energy_ratio_full_room_to_one_table
reading_after_the_panels_db = full_room_db - decibels_removed_by_halving_the_energy
decibels_still_above_the_quiet_reading = reading_after_the_panels_db - one_table_db
percent_of_energy_to_remove_to_reach_sixty = int((energy_ratio_full_room_to_one_table - 1) * 100 / energy_ratio_full_room_to_one_table)
print("one table talking               : " + str(one_table_db) + " dB")
print("full room                       : " + str(full_room_db) + " dB")
print("the meter rose by               : " + str(decibels_added_by_the_room) + " dB, " + str(meter_reading_rose_by_per_myriad) + " per ten thousand of the quiet reading")
print("")
print("tenfolds of energy in " + str(decibels_added_by_the_room) + " dB     : " + str(tenfolds_of_energy_added))
print("sound energy, full vs one table : " + str(energy_ratio_full_room_to_one_table) + " times, a rise of " + str(energy_rose_by_percent) + " percent")
print("how loud it sounds              : about " + str(times_as_loud_it_sounds) + " times as loud, a doubling per ten decibels")
print("tables' worth of talking        : " + str(tables_worth_of_talking_the_room_holds))
print("")
print("panels absorb half the energy   : minus " + str(decibels_removed_by_halving_the_energy) + " dB, to " + str(reading_after_the_panels_db) + " dB")
print("still above the quiet reading   : " + str(decibels_still_above_the_quiet_reading) + " dB")
print("energy to remove to reach " + str(one_table_db) + " dB : " + str(percent_of_energy_to_remove_to_reach_sixty) + " percent of it")
print("")
print("the third-more reasoning")
print("  readings : " + str(one_table_db) + " and " + str(full_room_db) + ", both accurate")
print("  arithmetic : " + str(full_room_db) + " is a third more than " + str(one_table_db))
print("  panels : absorb half the sound energy, as rated")
print("  intent : bring the room back toward the quiet reading")
print("  facts wrong : 0")
print("  verdict : HALF THE SOUND UNDOES A THIRD MORE")
print("")
print("  reading the meter accurately is the part done right here,")
print("  and it is why " + str(decibels_added_by_the_room) + " dB is exactly the rise, on the scale the")
print("  meter uses")
print("")
print("a logarithmic meter")
print("  what a decibel counts : factors of ten in energy, " + str(decibels_per_tenfold_of_energy) + " dB per tenfold")
print("  " + str(decibels_added_by_the_room) + " dB : " + str(tenfolds_of_energy_added) + " tenfolds, " + str(energy_ratio_full_room_to_one_table) + " times the energy, not a third more")
print("  what the ear does with it : roughly doubles the loudness")
print("    per ten decibels, so " + str(times_as_loud_it_sounds) + " times as loud")
print("  what halving the energy buys : " + str(decibels_removed_by_halving_the_energy) + " dB, one small step on a")
print("    scale where the room climbed " + str(decibels_added_by_the_room))
print("  what reaching " + str(one_table_db) + " dB costs : removing " + str(percent_of_energy_to_remove_to_reach_sixty) + " percent of the energy")
print("")
print("the room after the panels")
print("  believed : most of the way back to " + str(one_table_db) + " dB")
print("  actual : " + str(reading_after_the_panels_db) + " dB, " + str(decibels_still_above_the_quiet_reading) + " above it, and barely noticed")
print("  is the meter wrong : no; both readings are right")
print("  is " + str(full_room_db) + " a third more noise than " + str(one_table_db) + " : no; it is " + str(energy_ratio_full_room_to_one_table) + " times the")
print("    energy, and the scale hid that on purpose")
print("")
nc_rise_read_as_meter_numbers_per_myriad = 3333
nc_rise_read_as_energy_per_myriad = 990000
nc_rise_the_scale_was_hiding_per_myriad = 986667
print("null control - compare the energy, not the meter numbers")
print("  rise, as meter numbers : " + str(nc_rise_read_as_meter_numbers_per_myriad) + " per ten thousand")
print("  rise, as energy : " + str(nc_rise_read_as_energy_per_myriad) + " per ten thousand")
print("  rise the scale was hiding : " + str(nc_rise_the_scale_was_hiding_per_myriad) + " per ten thousand")
print("  no reading and no room changed; the numbers were converted")
print("  out of the scale that compresses them")
print("")
print("what two accurate decibel readings guarantee")
print("  the room rose " + str(decibels_added_by_the_room) + " dB : exactly, on the meter's scale")
print("  the room got a third noisier : not addressed; the scale is")
print("    logarithmic, " + str(decibels_added_by_the_room) + " dB is " + str(energy_ratio_full_room_to_one_table) + " times the energy, and panels that")
print("    remove half of it take back " + str(decibels_removed_by_halving_the_energy) + " dB of the " + str(decibels_added_by_the_room))
print("")
print("a meter that counts in tenfolds is honest about its own scale and silent")
print("about yours; read its numbers as if they were the thing measured and every")
print("remedy sized to them will be a hundred times too small")
print("")
print("The readings are exact: " + str(one_table_db) + " then " + str(full_room_db) + " dB. But decibels count tenfolds,")
print("so the room holds " + str(energy_ratio_full_room_to_one_table) + " times the sound energy of one table, not a third more,")
print("and panels that absorb half of it bring the meter down " + str(decibels_removed_by_halving_the_energy) + " dB to " + str(reading_after_the_panels_db) + ", still " + str(decibels_still_above_the_quiet_reading))
print("above the quiet reading, until the rise is read as energy rather than as digits.")

one table talking               : 60 dB
full room                       : 80 dB
the meter rose by               : 20 dB, 3333 per ten thousand of the quiet reading

tenfolds of energy in 20 dB     : 2
sound energy, full vs one table : 100 times, a rise of 9900 percent
how loud it sounds              : about 4 times as loud, a doubling per ten decibels
tables' worth of talking        : 100

panels absorb half the energy   : minus 3 dB, to 77 dB
still above the quiet reading   : 17 dB
energy to remove to reach 60 dB : 99 percent of it

the third-more reasoning
  readings : 60 and 80, both accurate
  arithmetic : 80 is a third more than 60
  panels : absorb half the sound energy, as rated
  intent : bring the room back toward the quiet reading
  facts wrong : 0
  verdict : HALF THE SOUND UNDOES A THIRD MORE

  reading the meter accurately is the part done right here,
  and it is why 20 dB is exactly the rise, on the scale the
  meter uses

a logarithmic meter
  what a decibel counts : factors of ten in energy, 10 dB per tenfold
  20 dB : 2 tenfolds, 100 times the energy, not a third more
  what the ear does with it : roughly doubles the loudness
    per ten decibels, so 4 times as loud
  what halving the energy buys : 3 dB, one small step on a
    scale where the room climbed 20
  what reaching 60 dB costs : removing 99 percent of the energy

the room after the panels
  believed : most of the way back to 60 dB
  actual : 77 dB, 17 above it, and barely noticed
  is the meter wrong : no; both readings are right
  is 80 a third more noise than 60 : no; it is 100 times the
    energy, and the scale hid that on purpose

null control - compare the energy, not the meter numbers
  rise, as meter numbers : 3333 per ten thousand
  rise, as energy : 990000 per ten thousand
  rise the scale was hiding : 986667 per ten thousand
  no reading and no room changed; the numbers were converted
  out of the scale that compresses them

what two accurate decibel readings guarantee
  the room rose 20 dB : exactly, on the meter's scale
  the room got a third noisier : not addressed; the scale is
    logarithmic, 20 dB is 100 times the energy, and panels that
    remove half of it take back 3 dB of the 20

a meter that counts in tenfolds is honest about its own scale and silent
about yours; read its numbers as if they were the thing measured and every
remedy sized to them will be a hundred times too small

The readings are exact: 60 then 80 dB. But decibels count tenfolds,
so the room holds 100 times the sound energy of one table, not a third more,
and panels that absorb half of it bring the meter down 3 dB to 77, still 17
above the quiet reading, until the rise is read as energy rather than as digits.

Trace event types