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BUG: Index.difference is returning too many values #58971

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@michaelpradel

Description

@michaelpradel

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Reproducible Example

import pandas as pd

index1 = pd.period_range('2022-01-01', periods=5, freq='M')
index2 = pd.Index(['2022-02', '2022-03'])
result = index1.difference(index2)
print(result)

Issue Description

The example creates index1 with 5 months, and index2 with two months. The difference should be an index with three months. However, I'm getting the following:

PeriodIndex(['2022-01', '2022-02', '2022-03', '2022-04', '2022-05'], dtype='period[M]')

Looks like this issue was introduced by #55108.

Expected Behavior

The example should print the following:

Index(['2022-02', '2022-03'], dtype='object')

Pandas 2.1.4 gives the expected behavior.

Installed Versions

INSTALLED VERSIONS ------------------ commit : 6dbeeb4 python : 3.10.8.final.0 python-bits : 64 OS : Linux OS-release : 6.5.0-35-generic Version : #35-Ubuntu SMP PREEMPT_DYNAMIC Fri Apr 26 11:23:57 UTC 2024 machine : x86_64 processor : byteorder : little LC_ALL : None LANG : C.UTF-8 LOCALE : en_US.UTF-8

pandas : 2.2.0rc0+28.g6dbeeb4009
numpy : 1.26.4
pytz : 2024.1
dateutil : 2.9.0.post0
setuptools : 63.2.0
pip : 24.0
Cython : 3.0.10
pytest : 8.2.0
hypothesis : 6.100.2
sphinx : 7.3.7
blosc : None
feather : None
xlsxwriter : 3.2.0
lxml.etree : 5.2.1
html5lib : 1.1
pymysql : 1.4.6
psycopg2 : 2.9.9
jinja2 : 3.1.3
IPython : 8.24.0
pandas_datareader : None
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : 4.12.3
bottleneck : 1.3.8
fastparquet : 2024.2.0
fsspec : 2024.3.1
gcsfs : 2024.3.1
matplotlib : 3.8.4
numba : 0.59.1
numexpr : 2.10.0
odfpy : None
openpyxl : 3.1.2
pyarrow : 16.0.0
pyreadstat : 1.2.7
python-calamine : None
pyxlsb : 1.0.10
s3fs : 2024.3.1
scipy : 1.13.0
sqlalchemy : 2.0.29
tables : 3.9.2
tabulate : 0.9.0
xarray : 2024.3.0
xlrd : 2.0.1
zstandard : 0.22.0
tzdata : 2024.1
qtpy : None
pyqt5 : None

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BugIndexRelated to the Index class or subclassesRegressionFunctionality that used to work in a prior pandas versionsetopsunion, intersection, difference, symmetric_difference

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