BUG: .to_period with MonthBegin offset does not work with a Timestamp, but works with pd.DatetimeIndex

[felipeangelimvieira]

Pandas version checks

• I have checked that this issue has not already been reported.

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• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

import pandas as pd


dateiindex = pd.date_range("2020-01-01", periods=1)
dateiindex.to_period(pd.offsets.MonthBegin())
dateiindex[0].to_period(pd.offsets.MonthBegin()) # error here

Issue Description

Thank you very much for the library. I believe this is a bug and not expected behaviour, since it is somewhat counterintuitive.

Calling to_period with MonthBegin raises an error:

ValueError: <MonthBegin> is not supported as period frequency

Only if the object is Timestamp, and not DatetimeIndex.

Expected Behavior

I was expecting to obtain a period object. It does work with MonthStart, so this may be related or the same issue of #58974

Installed Versions

INSTALLED VERSIONS

commit : 0691c5c
python : 3.11.11
python-bits : 64
OS : Darwin
OS-release : 24.1.0
Version : Darwin Kernel Version 24.1.0: Thu Oct 10 21:06:57 PDT 2024; root:xnu-11215.41.3~3/RELEASE_ARM64_T6041
machine : arm64
processor : arm
byteorder : little
LC_ALL : None
LANG : None
LOCALE : None.UTF-8

pandas : 2.2.3
numpy : 2.1.3
pytz : 2024.2
dateutil : 2.9.0.post0
pip : 24.0
Cython : None
sphinx : None
IPython : 8.31.0
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : None
blosc : None
bottleneck : None
dataframe-api-compat : None
fastparquet : None
fsspec : None
html5lib : None
hypothesis : None
gcsfs : None
jinja2 : None
lxml.etree : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : None
pandas_gbq : None
psycopg2 : None
pymysql : None
pyarrow : None
pyreadstat : None
pytest : 8.3.4
python-calamine : None
pyxlsb : None
s3fs : None
scipy : 1.15.0
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
xlsxwriter : None
zstandard : None
tzdata : 2024.2
qtpy : None
pyqt5 : None